Couldn't run 64 bit programs with wine

It seems that you have 32 bit wine bottle in your ~/.wine folder. In order to be able to run 64 bit programs, you need to setup another bottle for 64 bit applications:

$ WINEARCH=win64 WINEPREFIX=~/.wine64 winecfg

After that you can run programs specifying your newly created wine64 bottle:

$ WINEPREFIX=~/.wine64 wine app.exe