As I understand it, the 64-bit version of iTunes is actually a 32-bit application, and so appears in the
Program Files (x86) folder. Is there a way to see if the version of iTunes I've installed is the 32-bit version or the 64-bit version?
In answer to whether a 64-bit installation shows up, listed as 32-bit in the Task Manager, per https://discussions.apple.com/message/18034729#18034729:
That's normal on a 64-bit version of iTunes. (It's a mix of 32-bit and 64-bit componentry, and the itunes.exe is 32-bit.)
Is your iPodservice.exe running as 64-bit? If so, and your itunes version is 9.x or higher, you've got a 64-bit iTunes installed.
On OS X, you can open iTunes and go to iTunes -> About iTunes and it will tell you. On Windows, you can get to the same dialogue by going to ? -> Info, it won't tell you though. You can open the task manager and if there is a *32 behind the process name, it is 32 bit.
It looks like the Installer is 64 bit but the application remains 32 bit on Windows.