904791660480 has 336 divisors, whose sum is σ = 3271706557920. Its totient is φ = 235389173760.

The previous prime is 904791660407. The next prime is 904791660497. The reversal of 904791660480 is 84066197409.

904791660480 is a `hidden beast` number, since 9 + 0 + 479 + 166 + 0 + 4 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14492692 + ... + 14554988.

Almost surely, 2^904791660480 is an apocalyptic number.

904791660480 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 904791660480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635853278960).

904791660480 is an abundant number, since it is smaller than the sum of its proper divisors (2366914897440).

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

904791660480 is a wasteful number, since it uses less digits than its factorization.

904791660480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62405 (or 62348 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 904791660480 in words is "nine hundred four billion, seven hundred ninety-one million, six hundred sixty thousand, four hundred eighty".