904241664000 has 832 divisors, whose sum is σ = 3373381440000. Its totient is φ = 238967193600.

The previous prime is 904241663987. The next prime is 904241664031. The reversal of 904241664000 is 466142409.

904241664000 is a `hidden beast` number, since 9 + 0 + 4 + 2 + 4 + 1 + 6 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2059775781 + ... + 2059776219.

It is an arithmetic number, because the mean of its divisors is an integer number (4054545000).

Almost surely, 2^904241664000 is an apocalyptic number.

904241664000 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 904241664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686690720000).

904241664000 is an abundant number, since it is smaller than the sum of its proper divisors (2469139776000).

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

904241664000 is a wasteful number, since it uses less digits than its factorization.

904241664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 904241664000 in words is "nine hundred four billion, two hundred forty-one million, six hundred sixty-four thousand".