90642202560 has 1344 divisors, whose sum is σ = 410060851200. Its totient is φ = 17844240384.

The previous prime is 90642202549. The next prime is 90642202591. The reversal of 90642202560 is 6520224609.

90642202560 is a `hidden beast` number, since 9 + 0 + 642 + 2 + 0 + 2 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 542767597 + ... + 542767763.

It is an arithmetic number, because the mean of its divisors is an integer number (305104800).

Almost surely, 2^90642202560 is an apocalyptic number.

90642202560 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90642202560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205030425600).

90642202560 is an abundant number, since it is smaller than the sum of its proper divisors (319418648640).

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

90642202560 is a wasteful number, since it uses less digits than its factorization.

90642202560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 90642202560 in words is "ninety billion, six hundred forty-two million, two hundred two thousand, five hundred sixty".