90933462400 has 384 divisors, whose sum is σ = 270792668160. Its totient is φ = 29763993600.

The previous prime is 90933462391. The next prime is 90933462463. The reversal of 90933462400 is 426433909.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13759897 + ... + 13766503.

It is an arithmetic number, because the mean of its divisors is an integer number (705189240).

Almost surely, 2^90933462400 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 90933462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135396334080).

90933462400 is an abundant number, since it is smaller than the sum of its proper divisors (179859205760).

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

90933462400 is a wasteful number, since it uses less digits than its factorization.

90933462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6682 (or 6665 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 40.

The spelling of 90933462400 in words is "ninety billion, nine hundred thirty-three million, four hundred sixty-two thousand, four hundred".