It is pretty amazing. Note that Tesla doesn't even sell the 60 anymore, their current low end is 70kWh, and the high end is 90kWh. (A 100kWh will probably be introduced pretty soon, based on leaked info from the firmware.) The Model 3 will probably have a smaller battery, as it won't need as much, and that will save cost. 60 seems like a decent bet, although it might be as small as 50 or 55.
On the other hand, it's an amazingly small amount of energy. A 90kWh battery holds the equivalent energy of 2.7 gallons of gasoline. It's just that the electric drivetrain is 90+% efficient at turning that into motion.
The optimal speed for maximum range is about 25MPH. The slower you go, the less energy you waste fighting air resistance. I assume that below that speed, the energy that goes into maintaining the various systems start to cancel out the gains from going slower. The current record for a Model S is 452.8 miles, which took almost 20 hours. Not exactly practical.
Slowing down more reasonable amounts definitely helps. According to Tesla's range calculator, with a 70F outside temperature and no climate control, a 90D can expect to go 275 miles at 70MPH on level ground. Drop to 65MPH and you can get 302 miles. At 60MPH, the range is 332 miles.
This is always good to keep in mind on longer trips. You can watch your projected state of charge on arrival, and if it starts to drop below where you're comfortable, just slow down a little bit and that should solve the problem. Obviously, it's best if you don't have to do this, but it's a good plan B or plan C to keep in your pocket.