681447583020672 has 640 divisors, whose sum is σ = 2200660037452800. Its totient is φ = 208075368775680.

The previous prime is 681447583020629. The next prime is 681447583020703. The reversal of 681447583020672 is 276020385744186.

681447583020672 is a `hidden beast` number, since 6 + 8 + 1 + 4 + 47 + 583 + 0 + 2 + 0 + 6 + 7 + 2 = 666.

It is a super-3 number, since 3×681447583020672³ (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 89206382229 + ... + 89206389867.

It is an arithmetic number, because the mean of its divisors is an integer number (3438531308520).

Almost surely, 2^{681447583020672} 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 681447583020672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100330018726400).

681447583020672 is an abundant number, since it is smaller than the sum of its proper divisors (1519212454432128).

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

681447583020672 is a wasteful number, since it uses less digits than its factorization.

681447583020672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12646 (or 12625 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 681447583020672 in words is "six hundred eighty-one trillion, four hundred forty-seven billion, five hundred eighty-three million, twenty thousand, six hundred seventy-two".