The discouraging answer is: They have FULL power, to do anything they want, and you can’t stop them, turn them off, or block them from your house. Through your router, they have access to everything that is connected to it. (If you are like me, that is everything in  your house) You are definitely going to want to watch this video. It is VERY enlightening. (and kind of scary really) If you heard about the router botnets that were recently shut down, well they started back up again. (The info on the router botnets are here: ROUTER BOTNET ATTACKS )  But here is the video you will really want to watch if you want to be security aware: