681474661056 has 1344 divisors, whose sum is σ = 2596164480000. Its totient is φ = 169723330560.

The previous prime is 681474660991. The next prime is 681474661067. The reversal of 681474661056 is 650166474186.

681474661056 is a `hidden beast` number, since 6 + 8 + 1 + 474 + 66 + 105 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×681474661056² (a number of 24 digits) contains 22 as substring.

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 junction number, because it is equal to n+sod(n) for n = 681474660993 and 681474661011.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3765053286 + ... + 3765053466.

It is an arithmetic number, because the mean of its divisors is an integer number (1931670000).

Almost surely, 2^681474661056 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 681474661056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298082240000).

681474661056 is an abundant number, since it is smaller than the sum of its proper divisors (1914689818944).

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

681474661056 is a wasteful number, since it uses less digits than its factorization.

681474661056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 681474661056 in words is "six hundred eighty-one billion, four hundred seventy-four million, six hundred sixty-one thousand, fifty-six".