680856599808000 has 4608 divisors, whose sum is σ = 3348387397555200. Its totient is φ = 133135073280000.

The previous prime is 680856599807981. The next prime is 680856599808041. The reversal of 680856599808000 is 808995658086.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-2 number, since 2×680856599808000² (a number of 30 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 680856599808000.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 99525884580 + ... + 99525891420.

It is an arithmetic number, because the mean of its divisors is an integer number (726646570650).

Almost surely, 2^{680856599808000} is an apocalyptic number.

680856599808000 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 680856599808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674193698777600).

680856599808000 is an abundant number, since it is smaller than the sum of its proper divisors (2667530797747200).

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

680856599808000 is a wasteful number, since it uses less digits than its factorization.

680856599808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6933 (or 6886 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 72.

The spelling of 680856599808000 in words is "six hundred eighty trillion, eight hundred fifty-six billion, five hundred ninety-nine million, eight hundred eight thousand".