For future reference, MinGW is a distribution of 32-bit binaries (always). There is an installer that lets you specify the packages you want and then download them. The binaries are ordinary win32 binaries that only need Microsoft's C runtime, so you can use them from a command prompt if the binary directory is in your path. By default there is no make.exe, but there is a mingw32-make.exe that you can rename. gcc.exe is the GCC compiler driver, and cpp.exe is the C preprocessor. The C++ compiler is g++.

Mingw64 is just a directory of additional 32-bit binaries that include a 64-bit cross-compiler. There's some voodoo you can do to a config file in the MinGW distribution that will redirect gcc.exe to invoke that cross-compiler.