680725516489920 has 336 divisors, whose sum is σ = 2623302059403168. Its totient is φ = 160564249313280.

The previous prime is 680725516489771. The next prime is 680725516489927. The reversal of 680725516489920 is 29984615527086.

680725516489920 is a `hidden beast` number, since 6 + 8 + 0 + 7 + 2 + 5 + 51 + 6 + 489 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (680725516489927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289200109 + ... + 291544428.

Almost surely, 2^{680725516489920} is an apocalyptic number.

680725516489920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

680725516489920 is an abundant number, since it is smaller than the sum of its proper divisors (1942576542913248).

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

680725516489920 is a wasteful number, since it uses less digits than its factorization.

680725516489920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580744608 (or 580744595 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 72.

The spelling of 680725516489920 in words is "six hundred eighty trillion, seven hundred twenty-five billion, five hundred sixteen million, four hundred eighty-nine thousand, nine hundred twenty".