82673993664 has 42 divisors (see below), whose sum is σ = 236970077240. Its totient is φ = 27557997696.

The previous prime is 82673993639. The next prime is 82673993723. The reversal of 82673993664 is 46639937628.

82673993664 is a `hidden beast` number, since 8 + 267 + 3 + 9 + 9 + 366 + 4 = 666.

It is a super-2 number, since 2×82673993664² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71765044 + ... + 71766195.

Almost surely, 2^82673993664 is an apocalyptic number.

It is an amenable number.

82673993664 is an abundant number, since it is smaller than the sum of its proper divisors (154296083576).

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

82673993664 is a wasteful number, since it uses less digits than its factorization.

82673993664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143531257 (or 143531244 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 63.

The spelling of 82673993664 in words is "eighty-two billion, six hundred seventy-three million, nine hundred ninety-three thousand, six hundred sixty-four".