issue with inappropriate neighbors

So about 2 and a half months ago me and my boyfriend moved into our first apartment together. It took a bit to settle in and when we finally did we noticed we could hear the neighbors through the walls. At first it wasn't bad and if we heard them at night (past quiet hours) we'd just bump the wall a couple of times (we never made any crazy loud noises at first, just trying to let them know "hey, it's past 10 and we need sleep" kinda think) but after a couple of weeks it started to get worse. We started hearing the neighbors talking about us and being very rude. Of course this is our home and we want it to be a safe place, so we tried to ignore it at first but it's been getting worse. Tonight the neighbors connected to my PlayStation headset bluetooth and called my boyfriend a psychopath. We're getting threatened and bad mouthed every day and it's taking a MAJOR toll on my boyfriends mental health at the moment. Does anyone have any advice on what to do/how I can deal with this? We messaged the landlord and are waiting to hear back but we genuinely don't think we can wait. We feel unsafe and have no clue what to do now.

Edit: they just messed with my boyfriends email account. Wtf do we do?

Edit # 2: the landlord said to file a police report so we're gonna do that. Does anyone have tips on how to ignore/drown out the noise while we wait for something to be done? (We currently have no Wi-Fi, so anything with streaming/entertainment isn't fully available at the time. The only way we stream anything is on my phone because I have decent service)