680132592000 has 768 divisors, whose sum is σ = 2602709928000. Its totient is φ = 174363033600.

The previous prime is 680132591969. The next prime is 680132592017. The reversal of 680132592000 is 295231086.

680132592000 is a `hidden beast` number, since 68 + 0 + 1 + 3 + 2 + 592 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2919023884 + ... + 2919024116.

Almost surely, 2^680132592000 is an apocalyptic number.

680132592000 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 680132592000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301354964000).

680132592000 is an abundant number, since it is smaller than the sum of its proper divisors (1922577336000).

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

680132592000 is an equidigital number, since it uses as much as digits as its factorization.

680132592000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 680132592000 in words is "six hundred eighty billion, one hundred thirty-two million, five hundred ninety-two thousand".