Forgot to mention- there IS a safety recall on the 600 and 660s made before 1975- under certain conditions, rifle can fire when safety is taken off. Had one that was doing that. Remington will send you a shipping tag and do the fix at no charge. DO call their customer service number and seee if yours has been thru the shop. They usually stamp a tiny letter on the SIDE of the trigger to indicate mod was done.
Had a 660 Magnum when I was stationed in Alaska- in .350 magnum. While it was good medicine for bear, that thing HURT to shoot!
What we have here is... failure- to communicate.