90359764672 has 56 divisors (see below), whose sum is σ = 189348719600. Its totient is φ = 42665066496.

The previous prime is 90359764669. The next prime is 90359764679. The reversal of 90359764672 is 27646795309.

It is a happy number.

It is a super-3 number, since 3×90359764672³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (90359764679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261904 + ... + 499312.

Almost surely, 2^90359764672 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 90359764672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94674359800).

90359764672 is an abundant number, since it is smaller than the sum of its proper divisors (98988954928).

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

90359764672 is a wasteful number, since it uses less digits than its factorization.

90359764672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237753 (or 237743 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 58.

The spelling of 90359764672 in words is "ninety billion, three hundred fifty-nine million, seven hundred sixty-four thousand, six hundred seventy-two".