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Theoretically infinite, since it's always possible to add another methyl to a hydrocarbon. In practice there isn't an infinite amount of carbon in the universe, so the number of possible organic compounds is merely extremely large. To give you some idea of how large, there are 4,111,846,763 possible structural isomers of C30H62, an insignificantly small (in terms of the total amount of carbon in the universe) compound. That's without taking stereochemistry into account, and once we start adding functional groups, the numbers get even bigger. In either case, it's big enough that the notion of an exact number is ludicrous. approx it is about six million..

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Q: What is the exact number of organic compounds?
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