diff --git a/R/integer64.R b/R/integer64.R
index 7a1715e..4b771ea 100644
--- a/R/integer64.R
+++ b/R/integer64.R
@@ -2251,7 +2251,7 @@ function (..., recursive = FALSE)
     K <- length(l)
     for (k in 1:K){
         if (recursive && is.list(l[[k]])){
-            l[[k]] <- do.call("c.integer64", c(l[[k]], list(recursive = TRUE)))
+            l[[k]] <- do.call(c.integer64, c(l[[k]], list(recursive = TRUE)))
         }else{
             if (!is.integer64(l[[k]])) {
                 nam <- names(l[[k]])
@@ -2261,7 +2261,7 @@ function (..., recursive = FALSE)
             oldClass(l[[k]]) <- NULL
         }
     }
-    ret <- do.call("c", l)
+    ret <- do.call(c, l)
     oldClass(ret) <- "integer64"
     ret
 }
@@ -2278,7 +2278,7 @@ cbind.integer64 <- function(...){
         }
         oldClass(l[[k]]) <- NULL
   }
-  ret <- do.call("cbind", l)
+  ret <- do.call(cbind, l)
     oldClass(ret) <- "integer64"
   ret
 }
@@ -2294,7 +2294,7 @@ rbind.integer64 <- function(...){
         }
         oldClass(l[[k]]) <- NULL
   }
-  ret <- do.call("rbind", l)
+  ret <- do.call(rbind, l)
     oldClass(ret) <- "integer64"
   ret
 }
diff --git a/R/zzz.R b/R/zzz.R
index a280de2..0e880a7 100644
--- a/R/zzz.R
+++ b/R/zzz.R
@@ -53,7 +53,10 @@
   packageStartupMessage("WARNING semantics differ from integer")
   packageStartupMessage("for more help type ?bit64")
 }
+
+# nocov start
 .onUnload <- function(libpath){
    packageStartupMessage("Unloading package bit64")
    library.dynam.unload("bit64", libpath)
 }
+# nocov end
diff --git a/tests/testthat/test-integer64.R b/tests/testthat/test-integer64.R
index bd6572b..7d76997 100644
--- a/tests/testthat/test-integer64.R
+++ b/tests/testthat/test-integer64.R
@@ -52,6 +52,10 @@ test_that("indexing works", {
 
   expect_identical(x[3L], as.integer64(3L))
   expect_identical(x[[4L]], as.integer64(4L))
+
+  names(x) = letters[1:10]
+  expect_identical(x[c("b", "c")], x[2:3])
+  expect_identical(x[["d"]], x[[4L]])
 })
 
 test_that("arithmetic & basic math works", {
@@ -64,6 +68,7 @@ test_that("arithmetic & basic math works", {
   # output is double even though it fits in integer [and integer64]
   expect_identical(x[seq(2L, 10L, by=2L)] / 2L, as.double(1:5))
   expect_identical(x ^ 2L, as.integer64((1:10)^2L))
+  expect_identical(-x, as.integer64(-(1:10)))
 
   expect_identical(x %/% 2L, as.integer64(c(0L, 1L, 1L, 2L, 2L, 3L, 3L, 4L, 4L, 5L)))
   expect_identical(x %% 2L, as.integer64(rep_len(c(1L, 0L), 10L)))
@@ -85,18 +90,35 @@ test_that("arithmetic & basic math works", {
   expect_identical(round(x), x)
 
   expect_identical(round(x, -1L), as.integer64(rep(c(0L, 10L), each=5L)))
+})
+
+test_that("basic statistics work", {
+  x = as.integer64(1:10)
 
   expect_identical(sum(x), as.integer64(55L))
+  expect_identical(sum(x, x), as.integer64(110L))
   expect_identical(prod(x), as.integer64(factorial(10L)))
+  expect_identical(prod(x[1:5], x[6:10]), as.integer64(factorial(10L)))
   expect_identical(min(x), x[1L])
+  expect_identical(min(x, as.integer64(0L)), as.integer64(0L))
   expect_identical(max(x), x[10L])
+  expect_identical(max(x, as.integer64(11L)), as.integer64(11L))
+  expect_identical(range(x), x[c(1L, 10L)])
+  expect_identical(range(x, x+1L), c(x[1L], x[10L]+1L))
+
   expect_identical(diff(x), as.integer64(rep(1L, 9L)))
+
+  expect_identical(cummin(x), as.integer64(rep(1L, 10L)))
+  expect_identical(cummax(x), x)
+  expect_identical(cumsum(x), as.integer64(choose(2:11, 2L)))
+  expect_identical(cumprod(x), as.integer64(factorial(1:10)))
 })
 
 test_that("display methods work", {
   x = as.integer64(1:3)
   expect_identical(format(x), as.character(1:3))
   expect_output(print(x), "integer64.*\\s*1\\s*2\\s*3")
+  expect_output(print(x[0L]), "integer64(0)", fixed=TRUE)
   expect_output(str(x), "integer64 [1:3] 1 2 3", fixed=TRUE)
 })
 
diff --git a/tests/testthat/test-patch64.R b/tests/testthat/test-patch64.R
new file mode 100644
index 0000000..9524b48
--- /dev/null
+++ b/tests/testthat/test-patch64.R
@@ -0,0 +1,5 @@
+test_that("base generic overwrites work", {
+  x = c(2L, 4L, 3L)
+  expect_identical(rank(x), c(1.0, 3.0, 2.0))
+  expect_identical(order(x), c(1L, 3L, 2L))
+})
diff --git a/tests/testthat/test-sort64.R b/tests/testthat/test-sort64.R
new file mode 100644
index 0000000..0eda6f1
--- /dev/null
+++ b/tests/testthat/test-sort64.R
@@ -0,0 +1,3 @@
+test_that("order basics work", {
+  expect_identical(order(as.integer64(c(2L, 4L, 3L))), c(1L, 3L, 2L))
+})