680789192952960 has 9216 divisors, whose sum is σ = 3351149687808000. Its totient is φ = 126601899540480.

The previous prime is 680789192952949. The next prime is 680789192953021. The reversal of 680789192952960 is 69259291987086.

680789192952960 is a `hidden beast` number, since 6 + 8 + 0 + 7 + 8 + 9 + 1 + 9 + 29 + 529 + 60 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 680789192952960.

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 1151 ways as a sum of consecutive naturals, for example, 9325879355484 + ... + 9325879355556.

It is an arithmetic number, because the mean of its divisors is an integer number (363623013000).

Almost surely, 2^{680789192952960} is an apocalyptic number.

680789192952960 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 680789192952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1675574843904000).

680789192952960 is an abundant number, since it is smaller than the sum of its proper divisors (2670360494855040).

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

680789192952960 is a wasteful number, since it uses less digits than its factorization.

680789192952960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2116316160, while the sum is 81.

The spelling of 680789192952960 in words is "six hundred eighty trillion, seven hundred eighty-nine billion, one hundred ninety-two million, nine hundred fifty-two thousand, nine hundred sixty".