How to repair a hole in exterior concrete foundation
You need to clean up that area and fill it up with gravel. Compact it the best you can shoving the gravel down and to the back. When you're a few inches from the hole pour in cement. Pour in enough so it's a few inches above the hole and then slope it down away from the hole to deflect water from there. Fixing the gutter problem, maybe adding another downspout, should be done too. Good luck