90363360960 has 336 divisors, whose sum is σ = 316994535936. Its totient is φ = 23621216256.

The previous prime is 90363360931. The next prime is 90363361003. The reversal of 90363360960 is 6906336309.

90363360960 is a `hidden beast` number, since 9 + 0 + 3 + 6 + 33 + 609 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43800889 + ... + 43802951.

Almost surely, 2^90363360960 is an apocalyptic number.

90363360960 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 90363360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158497267968).

90363360960 is an abundant number, since it is smaller than the sum of its proper divisors (226631174976).

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

90363360960 is a wasteful number, since it uses less digits than its factorization.

90363360960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 45.

The spelling of 90363360960 in words is "ninety billion, three hundred sixty-three million, three hundred sixty thousand, nine hundred sixty".