Will my setup run 64 bit?

I'm starting to upgrade my PC piece by piece. I just upgraded my video card, and I'm getting an SSD to load my OS on. I'm going to upgrade from Windows XP 32 bit to Windows 7, but I'm unsure if my current system will support 64 bit or not.


My specs:

- GIGABYTE GA-EP45-DS3L LGA 775 Intel P45 ATX Intel Motherboard

- Intel Core 2 Duo E8500 Wolfdale 3.16GHz LGA 775 65W Dual-Core Processor BX80570E8500

- G.SKILL PI Black 4GB (2 x 2GB) 240-Pin DDR2 SDRAM DDR2 900(PC2 7200) Dual Channel Kit Desktop Memory Model F2-7200CL4D-4GBPI-B

- SAPPHIRE Radeon HD 7870 GHz Edition OC

- 1 TB 7200 Western Digital Caviar Black Sata HD

- Crucial M4 CT128M4SSD2 2.5" 128GB SATA III MLC

Thanks!