1) Start with the given: CUTE PURPLE DINOSAUR
2) Change all U's to V's (which is proper Latin anyway): CVTE PVRPLE DINOSAVR
3) Extract all Roman Numerals: C V V L D I V
4) Convert into Arabic values: 100 5 5 50 500 1 5
5) Add all the numbers: 666
Thus, Barney is Satan.