681397419024 has 405 divisors, whose sum is σ = 2299428133821. Its totient is φ = 187810479360.

The previous prime is 681397419019. The next prime is 681397419041. The reversal of 681397419024 is 420914793186.

The square root of 681397419024 is 825468.

It is a perfect power (a square), and thus also a powerful number.

681397419024 is a `hidden beast` number, since 68 + 1 + 397 + 4 + 190 + 2 + 4 = 666.

681397419024 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 38142090000 + 643255329024 = 195300^2 + 802032^2 .

It is a super-2 number, since 2×681397419024² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2149518514 + ... + 2149518830.

Almost surely, 2^681397419024 is an apocalyptic number.

681397419024 is the 825468-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 681397419024

681397419024 is an abundant number, since it is smaller than the sum of its proper divisors (1618030714797).

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

681397419024 is a wasteful number, since it uses less digits than its factorization.

681397419024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 681397419024 in words is "six hundred eighty-one billion, three hundred ninety-seven million, four hundred nineteen thousand, twenty-four".