681094192896 has 1152 divisors, whose sum is σ = 2498794905600. Its totient is φ = 180592312320.

The previous prime is 681094192871. The next prime is 681094192921. The reversal of 681094192896 is 698291490186.

681094192896 is a `hidden beast` number, since 6 + 8 + 109 + 419 + 28 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (681094192871) and next prime (681094192921).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 899727750 + ... + 899728506.

It is an arithmetic number, because the mean of its divisors is an integer number (2169092800).

Almost surely, 2^681094192896 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 681094192896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249397452800).

681094192896 is an abundant number, since it is smaller than the sum of its proper divisors (1817700712704).

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

681094192896 is a wasteful number, since it uses less digits than its factorization.

681094192896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 681094192896 in words is "six hundred eighty-one billion, ninety-four million, one hundred ninety-two thousand, eight hundred ninety-six".