904796736480 has 2304 divisors, whose sum is σ = 4271736268800. Its totient is φ = 179087376384.

The previous prime is 904796736433. The next prime is 904796736491. The reversal of 904796736480 is 84637697409.

904796736480 is a `hidden beast` number, since 90 + 4 + 7 + 9 + 67 + 3 + 6 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2947220487 + ... + 2947220793.

It is an arithmetic number, because the mean of its divisors is an integer number (1854052200).

Almost surely, 2^904796736480 is an apocalyptic number.

904796736480 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 904796736480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135868134400).

904796736480 is an abundant number, since it is smaller than the sum of its proper divisors (3366939532320).

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

904796736480 is a wasteful number, since it uses less digits than its factorization.

904796736480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 904796736480 in words is "nine hundred four billion, seven hundred ninety-six million, seven hundred thirty-six thousand, four hundred eighty".