900333738864 has 600 divisors, whose sum is σ = 3329642067840. Its totient is φ = 233096548608.

The previous prime is 900333738853. The next prime is 900333738911. The reversal of 900333738864 is 468837333009.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 900333738864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 27735027 + ... + 27767469.

Almost surely, 2^900333738864 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 900333738864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664821033920).

900333738864 is an abundant number, since it is smaller than the sum of its proper divisors (2429308328976).

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

900333738864 is a wasteful number, since it uses less digits than its factorization.

900333738864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32519 (or 32497 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 900333738864 in words is "nine hundred billion, three hundred thirty-three million, seven hundred thirty-eight thousand, eight hundred sixty-four".