681407659296 has 864 divisors, whose sum is σ = 2576407212288. Its totient is φ = 166657720320.

The previous prime is 681407659271. The next prime is 681407659307. The reversal of 681407659296 is 692956704186.

681407659296 is a `hidden beast` number, since 6 + 81 + 407 + 65 + 9 + 2 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 411228900 + ... + 411230556.

It is an arithmetic number, because the mean of its divisors is an integer number (2981952792).

Almost surely, 2^681407659296 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 681407659296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288203606144).

681407659296 is an abundant number, since it is smaller than the sum of its proper divisors (1894999552992).

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

681407659296 is a wasteful number, since it uses less digits than its factorization.

681407659296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

It can be divided in two parts, 681407 and 659296, that added together give a triangular number (1340703 = T₁₆₃₇).

The spelling of 681407659296 in words is "six hundred eighty-one billion, four hundred seven million, six hundred fifty-nine thousand, two hundred ninety-six".