What integer value in a game gets so big that it can potentially overflow a 64 bit integer?
I've literally been thinking about this question for years and I can't think of a single case. Bignums are pretty much only used in scientific computations and the only thing in a game that would come close to this would be encryption, in which case the programmers would know what they are doing and wouldn't mistakenly used fixed size integers.
(Of course back in the day integer overflow bugs in games were everywhere, one awesome example being level number 256 in pacman)