680074814160 has 600 divisors, whose sum is σ = 2752732626336. Its totient is φ = 155157327360.

The previous prime is 680074814141. The next prime is 680074814213. The reversal of 680074814160 is 61418470086.

680074814160 is a `hidden beast` number, since 6 + 8 + 0 + 0 + 7 + 481 + 4 + 160 = 666.

680074814160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 204163695 + ... + 204167025.

Almost surely, 2^680074814160 is an apocalyptic number.

680074814160 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 680074814160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1376366313168).

680074814160 is an abundant number, since it is smaller than the sum of its proper divisors (2072657812176).

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

680074814160 is a wasteful number, since it uses less digits than its factorization.

680074814160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4013 (or 3991 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 680074814160 in words is "six hundred eighty billion, seventy-four million, eight hundred fourteen thousand, one hundred sixty".