The Money Bin is said to be 39 meters tall, and 37 meters per side. Pennies have a packing efficiency of 57%, so a cube of the Money Bin's contents would be 2.5x the volume of the real-world's gold supply.
But are they gold coins? We can see Scrooge diving into and swimming through it. Either they are light and have low plasticity, or Scrooge is denser than any known element, and stronger than any known living creature.
Money is to Scrooge what the sun is to Superman. So under the right conditions, Scrooge is denser than any known element, and stronger than any known living creature.