Inquiring with Adobe over a 64-bit version of Photoshop CS6 was an exercise in futility. Windows 10 x64 is now the most popular operating system.
I have the 32-bit version and it works fine with as much memory that any 32-bit program can allocate. The 64-bit version was desired as the memory management with Windows 10 x64 is much better. Adobe does have a 64-bit version of Photoshop but they refused to provide it to me.
I also have more recent Corel software in the studio. Corel offers customers the choice of a 32-bit, 64-bit or both with their installer.
Adobe does not seem to want to do that. Instead to get the 64-bit version they wanted US $300 which is about half of what Photoshop originally cost.
Since Windows 10 was originally launched, back in 2015, I have expanded my software library substantially. The focus on 64-bit has been present with Windows XP x64 onwards primarily due to better memory management.
Adobe switched to a subscription model which is something the treasury can ill afford. Autodesk also has adopted a subscription model for their software. Revenue is unstable and demand for services has been subdued.
Office 2019 was the last perpetual version available. Microsoft has also moved to the subscription model for Office 365.
Corel is perpetual so this will be the graphics arts tool of choice for the studio looking forward.
Adobe removed this article from their forum. Guess they are as bad as Apple for not wanting to hear it.