681757052256 has 288 divisors, whose sum is σ = 2290117939200. Its totient is φ = 188262558720.

The previous prime is 681757052231. The next prime is 681757052269. The reversal of 681757052256 is 652250757186.

681757052256 is a `hidden beast` number, since 6 + 8 + 17 + 57 + 0 + 522 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51802605 + ... + 51815763.

It is an arithmetic number, because the mean of its divisors is an integer number (7951798400).

Almost surely, 2^681757052256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681757052256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145058969600).

681757052256 is an abundant number, since it is smaller than the sum of its proper divisors (1608360886944).

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

681757052256 is a wasteful number, since it uses less digits than its factorization.

681757052256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14042 (or 14031 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 681757052256 in words is "six hundred eighty-one billion, seven hundred fifty-seven million, fifty-two thousand, two hundred fifty-six".