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It depends on the mass of the car and what materials it's made of.
If you're just looking for a ballpark figure...
Let's assume a smallish car with a curb weight of around 1 long ton (about 2200 pounds, or around 1000 kg). Let's further assume that it's made entirely of aluminum (not realistic, but I did say ballpark figure).
That works out to about 37,000 moles of aluminum, and each aluminum atom contains 13 electrons, for a grand total of 481,000 moles of electrons.
That gives us just slightly under 2.9 x 1029 electrons.
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