RouteFinder 6 is available in two versions, for 32 and 64-bit MapInfo.
They provide the same functionality and use the same data files for the routing.
They can both be installed and also share the same serial number / license file.
But you should only be running one of them at a time, since they share the user folder.
The 32-bit version can not use extended TAB files, since they can not be opened in that version of MapInfo Professional.
The documentation shows screen dumps from the 64-bit version only, but the menu structure is the same:
32 bit user interface
This is made of the traditional menus and buttons.
64 bit user interface
This uses the new style Ribbon interface with button and drop down menus.