8009307546768 has 120 divisors (see below), whose sum is σ = 24497364511776. Its totient is φ = 2422625587200.

The previous prime is 8009307546739. The next prime is 8009307546841. The reversal of 8009307546768 is 8676457039008.

8009307546768 is a `hidden beast` number, since 80 + 0 + 9 + 3 + 0 + 7 + 546 + 7 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3755473 + ... + 5488368.

Almost surely, 2^{8009307546768} is an apocalyptic number.

8009307546768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

8009307546768 is an abundant number, since it is smaller than the sum of its proper divisors (16488056965008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8009307546768 is a wasteful number, since it uses less digits than its factorization.

8009307546768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9244413 (or 9244404 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 8009307546768 in words is "eight trillion, nine billion, three hundred seven million, five hundred forty-six thousand, seven hundred sixty-eight".