Most likely entirely pointless but entertaining, but the mechanic that increases the HP on elite mobs when a new player joins your party, doesn't seem to reset it when they leave (I've only played around briefly with this, so not sure if it requires you to be engaged with the mob first or not etc.).
Here's a mob with HP going into the negative as the number got too large;
https://i.imgur.com/swGez.jpg
(not my image, pulled link from D3 official forums while seeing if anyone else had spotted this bug)
I've only bothered getting a mob up to about 500,000,000 hp or so so far.
Really though just posting this to see if anyone who's a bit more creative than me can think of anything this might actually be USEFUL for? I mean could it be possible to;
* Keep joining and leaving games constantly just to troll people by making all their mobs impossible (most pointless thing to do at all really).
* Make those numbers get into such large NEGATIVES that you can actually kill elites on inferno act 4 with a single shot? (could be really useful?)
* Crash servers from out-of-memory/value limits!? (most dangerous? :P).
Chances are we can do nothing more than see huge/silly numbers in-game and make elites impossible to kill, but other people with infinitely more creative minds than me might find something nasty possible related to this!