90173067264 has 520 divisors, whose sum is σ = 315696604608. Its totient is φ = 25108807680.

The previous prime is 90173067217. The next prime is 90173067331. The reversal of 90173067264 is 46276037109.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 95219239 + ... + 95220185.

Almost surely, 2^90173067264 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 90173067264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157848302304).

90173067264 is an abundant number, since it is smaller than the sum of its proper divisors (225523537344).

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

90173067264 is an equidigital number, since it uses as much as digits as its factorization.

90173067264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 90173067264 in words is "ninety billion, one hundred seventy-three million, sixty-seven thousand, two hundred sixty-four".