Can I run 64-bit programs on a 32-bit computer?
If the program is specifically designed for the 64-bit version of Windows, it won't work on the 32-bit version of Windows. (However, most programs designed for the 32-bit version of Windows do work on the 64-bit version of Windows.)
Device drivers designed for the 64-bit version of Windows don't work on computers running a 32-bit version of Windows. To learn how to check for drivers, see Update a driver for hardware that isn't working properly or go to the device manufacturer's website. You can also get information about drivers by going to the Windows 7 Upgrade Advisor webpage.
You will need to get a 32 bit version of Adobe After Effects. - In this situation, you are able to install CS4 for 32 bit by contacting customer support with your CS6 serial key - you should be given a valid key.
This package has been removed in the CS6 versions of these suites. But it's available upon request for customers who have other mission critical programs that require a 32-bit OS. Adobe offers this continued legacy support for a limited time. If you use a 32-bit OS, begin transition plans now.
It's worth noting that you have 6GB of RAM installed, but with a 32 bit OS it's not possible to address all of this. It may be worth considering installing a 64 bit version of Windows 7 to address all of your available RAM, as well as installing this software. 64 bit Windows is backwards compatible with 32 bit programs, but not vice-versa.