Rigid Body Physics Animation export to fbx failed

I have a very simple animation where a ball collides with a wall (the example I got from this video youtu.be/67VtSE5WeR0?si=GuHM7xCJM65Ag6Em). I just want to export it into an fbx file. So I have about 2000 stone fractured cube objects. All with rigid body physiscs. I baked it to keyframe and try to export it to fbx file. But my machine could not handle it. I had to force quit the blender process. So I tryed to convert it online (imagetostl.com/convert/file/blend/to/fbx#convert) but that conversion failed because the fbx was to big it says.

So can anyone help me? I also tryed to reduce the keyframes but not much success. is there maybe a tool or something that shrinks the data for the keyframes or something? Thanks!