2 minutes to search:
http://www.amazon.com/Just-Six-Numbers-Forces-Universe/dp/0465036732
http://scienceblogs.com/startswithabang/2013/05/29/the-fundamental-constants-behind-our-universe/
I found the second one when I searched earlier. It lists 26 constants. I found other referebces that listed even more constants.
I could not find any reference the reduces the universal physical constants to six.