Well the 6.4 is a twin turbo diesel, which I believe was the first powerstroke coming from the factory that way. When I worked at one of our local Ford dealerships I heard many extreme opinions on both sides. We had quite a few traded in and in the shop for different motor issues. Although had as many owners praising it, however that may be mostly because anything coming after the terrible 6.0 motor is a success haha.
The 6.7 went back to a single turbo if i'm not mistaken, and I can't think of one issue that we had with any of them. My dealership had contracts with multiple companies/organizations that get trucks exclusively from us and got to talk to them about the new truck and i got overwhelmingly positive feedback. I got to drive some and even in a dually it had crazy power.
As far as gas mileage the 6.7 SHOULD beat the 6.4 by quite a few mpg's. While also(on paper) having more pulling power and power all around. Can't give personal experience to validate.
Although as far as looks...the '08 F250 with the side gills and a 6.4 is my favorite looking truck, period. I plan to make that my next truck....