90732920832 has 288 divisors, whose sum is σ = 273809817450. Its totient is φ = 28917891072.

The previous prime is 90732920627. The next prime is 90732920849. The reversal of 90732920832 is 23802923709.

90732920832 is a `hidden beast` number, since 90 + 7 + 329 + 208 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76653674496 + 14079246336 = 276864^2 + 118656^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 880902093 + ... + 880902195.

Almost surely, 2^90732920832 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 90732920832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136904908725).

90732920832 is an abundant number, since it is smaller than the sum of its proper divisors (183076896618).

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

90732920832 is an equidigital number, since it uses as much as digits as its factorization.

90732920832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 90732920832 in words is "ninety billion, seven hundred thirty-two million, nine hundred twenty thousand, eight hundred thirty-two".