And if every parameter is one byte, the minimum, it will take at least 70gb to save or share this model. So it's still way to big to package directly in a app.
In any case, during training (where the model is run in possibly large batches), and even during inference, the size of the parameters is completely dwarfed by the intermediate tensor representations.
What makes you say this?
Something similar applies for RNNs (same weights applied at each element of a sequence), GNNs and transformers (same weights applied at each pair of data).