680175688920 has 512 divisors, whose sum is σ = 2639598796800. Its totient is φ = 136275499008.

The previous prime is 680175688891. The next prime is 680175688937. The reversal of 680175688920 is 29886571086.

It is a super-2 number, since 2×680175688920² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34901499 + ... + 34920981.

It is an arithmetic number, because the mean of its divisors is an integer number (5155466400).

Almost surely, 2^680175688920 is an apocalyptic number.

680175688920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680175688920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319799398400).

680175688920 is an abundant number, since it is smaller than the sum of its proper divisors (1959423107880).

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

680175688920 is a wasteful number, since it uses less digits than its factorization.

680175688920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19679 (or 19675 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 60.

The spelling of 680175688920 in words is "six hundred eighty billion, one hundred seventy-five million, six hundred eighty-eight thousand, nine hundred twenty".