The differences between 32-bit and 64-bit operating systems are quite wide. But here are some of them...

Performance

Higher

Lesser

Physical Memory

1 TB

4GB 64 GB with PAE

Kernel Virtual Address

8 TB

2GB

Paged Pool

128 GB

550 MB

System Cache

1 TB

860 MB

OS Supports

Can run on both 32-bit and the 64-bit Operating System

Needs a 32-bit Operating System for Smoothness

Multi-Tasking Support

Better for Multitasking

 Not an ideal option for Multi-tasking

Cost

Costly

Cheaper

Winner = 64-Bit