90980806464 has 168 divisors, whose sum is σ = 265280302560. Its totient is φ = 29808000000.

The previous prime is 90980806457. The next prime is 90980806493. The reversal of 90980806464 is 46460808909.

90980806464 is a `hidden beast` number, since 90 + 98 + 0 + 8 + 0 + 6 + 464 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 90980806464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8080839 + ... + 8092089.

It is an arithmetic number, because the mean of its divisors is an integer number (1579049420).

Almost surely, 2^90980806464 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 90980806464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132640151280).

90980806464 is an abundant number, since it is smaller than the sum of its proper divisors (174299496096).

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

90980806464 is a wasteful number, since it uses less digits than its factorization.

90980806464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11509 (or 11496 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 90980806464 in words is "ninety billion, nine hundred eighty million, eight hundred six thousand, four hundred sixty-four".