90336906720 has 96 divisors (see below), whose sum is σ = 316179188640. Its totient is φ = 24089840640.

The previous prime is 90336906697. The next prime is 90336906743. The reversal of 90336906720 is 2760963309.

It is an interprime number because it is at equal distance from previous prime (90336906697) and next prime (90336906743).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×90336906720³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10451341 + ... + 10459980.

It is an arithmetic number, because the mean of its divisors is an integer number (3293533215).

Almost surely, 2^90336906720 is an apocalyptic number.

90336906720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

90336906720 is an abundant number, since it is smaller than the sum of its proper divisors (225842281920).

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

90336906720 is a wasteful number, since it uses less digits than its factorization.

90336906720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20911345 (or 20911331 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The spelling of 90336906720 in words is "ninety billion, three hundred thirty-six million, nine hundred six thousand, seven hundred twenty".