90336319920 has 960 divisors, whose sum is σ = 397150580736. Its totient is φ = 17856184320.

The previous prime is 90336319903. The next prime is 90336319921. The reversal of 90336319920 is 2991363309.

90336319920 is a `hidden beast` number, since 9 + 0 + 3 + 3 + 631 + 9 + 9 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (90336319921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 96409692 + ... + 96410628.

Almost surely, 2^90336319920 is an apocalyptic number.

90336319920 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 90336319920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198575290368).

90336319920 is an abundant number, since it is smaller than the sum of its proper divisors (306814260816).

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

90336319920 is a wasteful number, since it uses less digits than its factorization.

90336319920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 236196, while the sum is 45.

The spelling of 90336319920 in words is "ninety billion, three hundred thirty-six million, three hundred nineteen thousand, nine hundred twenty".