I have installed the Oracle Client for the 64 bit machine using the XCopy 11.2 provided by Oracle (Installed everything as per the read me instructions).
I am using Visu
You must install 64-bit Oracle Data Access Components (ODAC) since the Oracle Client Installation doesn't register Oracle.DataAccess.dll into the assembly.
If your oracle data access installation is OK, everything should work after unchecking "Enable 32 bit applications" in your Application Pool settings.
If you still have the same error, it is possible that you have a 32 bit dll in your bin folder of the website. Just delete it and the website will use the 64 bit from the assembly and it should work.