681892865313408 has 1792 divisors, whose sum is σ = 2433604169779200. Its totient is φ = 186139076198400.

The previous prime is 681892865313403. The next prime is 681892865313419. The reversal of 681892865313408 is 804313568298186.

681892865313408 is a `hidden beast` number, since 6 + 8 + 1 + 8 + 9 + 2 + 86 + 531 + 3 + 4 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (681892865313403) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1149903651160 + ... + 1149903651752.

Almost surely, 2^{681892865313408} 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 681892865313408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216802084889600).

681892865313408 is an abundant number, since it is smaller than the sum of its proper divisors (1751711304465792).

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

681892865313408 is a wasteful number, since it uses less digits than its factorization.

681892865313408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 681892865313408 in words is "six hundred eighty-one trillion, eight hundred ninety-two billion, eight hundred sixty-five million, three hundred thirteen thousand, four hundred eight".