82706073624 has 32 divisors (see below), whose sum is σ = 229739094000. Its totient is φ = 27568691136.

The previous prime is 82706073557. The next prime is 82706073661. The reversal of 82706073624 is 42637060728.

82706073624 is a `hidden beast` number, since 8 + 2 + 7 + 0 + 607 + 36 + 2 + 4 = 666.

It is a super-2 number, since 2×82706073624² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82706073624.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 191449029 + ... + 191449460.

Almost surely, 2^82706073624 is an apocalyptic number.

It is an amenable number.

82706073624 is an abundant number, since it is smaller than the sum of its proper divisors (147033020376).

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

82706073624 is a wasteful number, since it uses less digits than its factorization.

82706073624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382898504 (or 382898494 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 82706073624 in words is "eighty-two billion, seven hundred six million, seventy-three thousand, six hundred twenty-four".