82973067408 has 120 divisors (see below), whose sum is σ = 289507797696. Its totient is φ = 21551443200.

The previous prime is 82973067389. The next prime is 82973067421. The reversal of 82973067408 is 80476037928.

82973067408 is a `hidden beast` number, since 8 + 297 + 306 + 7 + 40 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3730483 + ... + 3752658.

Almost surely, 2^82973067408 is an apocalyptic number.

82973067408 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

82973067408 is an abundant number, since it is smaller than the sum of its proper divisors (206534730288).

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

82973067408 is a wasteful number, since it uses less digits than its factorization.

82973067408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7483173 (or 7483164 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 82973067408 in words is "eighty-two billion, nine hundred seventy-three million, sixty-seven thousand, four hundred eight".