90638705304 has 144 divisors (see below), whose sum is σ = 285671950200. Its totient is φ = 25886456064.

The previous prime is 90638705273. The next prime is 90638705359. The reversal of 90638705304 is 40350783609.

90638705304 is a `hidden beast` number, since 9 + 0 + 638 + 7 + 0 + 5 + 3 + 0 + 4 = 666.

It is a super-3 number, since 3×90638705304³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 90638705304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15552039 + ... + 15557865.

Almost surely, 2^90638705304 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 90638705304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142835975100).

90638705304 is an abundant number, since it is smaller than the sum of its proper divisors (195033244896).

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

90638705304 is a wasteful number, since it uses less digits than its factorization.

90638705304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10262 (or 10248 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 90638705304 in words is "ninety billion, six hundred thirty-eight million, seven hundred five thousand, three hundred four".