680931602507520 has 2376 divisors, whose sum is σ = 3065128203062016. Its totient is φ = 143658927046656.

The previous prime is 680931602507447. The next prime is 680931602507593. The reversal of 680931602507520 is 25705206139086.

680931602507520 is a `hidden beast` number, since 6 + 8 + 0 + 9 + 3 + 1 + 60 + 2 + 50 + 7 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (680931602507447) and next prime (680931602507593).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 263 ways as a sum of consecutive naturals, for example, 48146185569 + ... + 48146199711.

Almost surely, 2^{680931602507520} is an apocalyptic number.

680931602507520 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 680931602507520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532564101531008).

680931602507520 is an abundant number, since it is smaller than the sum of its proper divisors (2384196600554496).

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

680931602507520 is an equidigital number, since it uses as much as digits as its factorization.

680931602507520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14221 (or 14173 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 680931602507520 in words is "six hundred eighty trillion, nine hundred thirty-one billion, six hundred two million, five hundred seven thousand, five hundred twenty".