681325152768 has 240 divisors, whose sum is σ = 2131848318600. Its totient is φ = 208228810752.

The previous prime is 681325152743. The next prime is 681325152769. The reversal of 681325152768 is 867251523186.

681325152768 is a `hidden beast` number, since 6 + 8 + 1 + 3 + 2 + 51 + 527 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 228514593024 + 452810559744 = 478032^2 + 672912^2 .

It is not an unprimeable number, because it can be changed into a prime (681325152769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8887530 + ... + 8963862.

Almost surely, 2^681325152768 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 681325152768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065924159300).

681325152768 is an abundant number, since it is smaller than the sum of its proper divisors (1450523165832).

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

681325152768 is a wasteful number, since it uses less digits than its factorization.

681325152768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76519 (or 76500 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 681325152768 in words is "six hundred eighty-one billion, three hundred twenty-five million, one hundred fifty-two thousand, seven hundred sixty-eight".