682072534080 has 168 divisors, whose sum is σ = 2681194731072. Its totient is φ = 155902288896.

The previous prime is 682072534063. The next prime is 682072534109. The reversal of 682072534080 is 80435270286.

682072534080 is a `hidden beast` number, since 6 + 8 + 207 + 25 + 340 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×682072534080² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16896322 + ... + 16936641.

Almost surely, 2^682072534080 is an apocalyptic number.

682072534080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

682072534080 is an abundant number, since it is smaller than the sum of its proper divisors (1999122196992).

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

682072534080 is a wasteful number, since it uses less digits than its factorization.

682072534080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33832993 (or 33832980 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 682072534080 in words is "six hundred eighty-two billion, seventy-two million, five hundred thirty-four thousand, eighty".