474728376960 has 384 divisors, whose sum is σ = 1716899708160. Its totient is φ = 125336678400.

The previous prime is 474728376937. The next prime is 474728377001. The reversal of 474728376960 is 69673827474.

It is a happy number.

474728376960 is a `hidden beast` number, since 4 + 7 + 472 + 8 + 3 + 76 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 15692409 + ... + 15722631.

It is an arithmetic number, because the mean of its divisors is an integer number (4471092990).

Almost surely, 2^474728376960 is an apocalyptic number.

474728376960 is a gapful number since it is divisible by the number (40) 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 474728376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858449854080).

474728376960 is an abundant number, since it is smaller than the sum of its proper divisors (1242171331200).

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

474728376960 is a wasteful number, since it uses less digits than its factorization.

474728376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30358 (or 30334 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 474728376960 in words is "four hundred seventy-four billion, seven hundred twenty-eight million, three hundred seventy-six thousand, nine hundred sixty".