890381959632 has 300 divisors, whose sum is σ = 2836449184800. Its totient is φ = 269445813120.

The previous prime is 890381959631. The next prime is 890381959699. The reversal of 890381959632 is 236959183098.

890381959632 is a `hidden beast` number, since 8 + 9 + 0 + 3 + 8 + 1 + 9 + 596 + 32 = 666.

890381959632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 890381959632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890381959631) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 129056119 + ... + 129063017.

It is an arithmetic number, because the mean of its divisors is an integer number (9454830616).

Almost surely, 2^890381959632 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 890381959632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418224592400).

890381959632 is an abundant number, since it is smaller than the sum of its proper divisors (1946067225168).

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

890381959632 is a wasteful number, since it uses less digits than its factorization.

890381959632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7764 (or 7738 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 890381959632 in words is "eight hundred ninety billion, three hundred eighty-one million, nine hundred fifty-nine thousand, six hundred thirty-two".