680549523264 has 252 divisors, whose sum is σ = 2114523724716. Its totient is φ = 209176141824.

The previous prime is 680549523253. The next prime is 680549523271. The reversal of 680549523264 is 462325945086.

680549523264 is a `hidden beast` number, since 6 + 8 + 0 + 54 + 9 + 523 + 2 + 64 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 68962961664 + 611586561600 = 262608^2 + 782040^2 .

It is a super-2 number, since 2×680549523264² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 680549523264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 106783182 + ... + 106789554.

Almost surely, 2^680549523264 is an apocalyptic number.

680549523264 is a gapful number since it is divisible by the number (64) 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 680549523264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057261862358).

680549523264 is an abundant number, since it is smaller than the sum of its proper divisors (1433974201452).

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

680549523264 is a wasteful number, since it uses less digits than its factorization.

680549523264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7514 (or 7488 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 680549523264 in words is "six hundred eighty billion, five hundred forty-nine million, five hundred twenty-three thousand, two hundred sixty-four".