Check if Your Mac Is 64 Bit
Here’s an easy way to determine whether or not your Mac is 64 bit capable. Open Terminal.app, which is located in /Applications/Utilities and type in:
sysctl hw | grep 64bit
If your machine is 64 bit capable, the result will be
hw.cpu64bit_capable: 1
If your machine is not 64 bit capable, the result will be
hw.cpu64bit_capable: 0
Tip source: OSXDaily.com