90692764480 has 112 divisors (see below), whose sum is σ = 219245322240. Its totient is φ = 35726745600.

The previous prime is 90692764469. The next prime is 90692764493. The reversal of 90692764480 is 8446729609.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29057320 + ... + 29060440.

It is an arithmetic number, because the mean of its divisors is an integer number (1957547520).

Almost surely, 2^90692764480 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 90692764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109622661120).

90692764480 is an abundant number, since it is smaller than the sum of its proper divisors (128552557760).

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

90692764480 is a wasteful number, since it uses less digits than its factorization.

90692764480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4488 (or 4478 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 55.

The spelling of 90692764480 in words is "ninety billion, six hundred ninety-two million, seven hundred sixty-four thousand, four hundred eighty".