474329728656 has 315 divisors, whose sum is σ = 1604613528723. Its totient is φ = 135374016960.

The previous prime is 474329728637. The next prime is 474329728667. The reversal of 474329728656 is 656827923474.

The square root of 474329728656 is 688716.

It is a perfect power (a square), and thus also a powerful number.

474329728656 is a `hidden beast` number, since 4 + 7 + 432 + 9 + 72 + 86 + 56 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 474329728593 and 474329728602.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 520668841 + ... + 520669751.

Almost surely, 2^474329728656 is an apocalyptic number.

474329728656 is the 688716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 474329728656

474329728656 is an abundant number, since it is smaller than the sum of its proper divisors (1130283800067).

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

474329728656 is an frugal number, since it uses more digits than its factorization.

474329728656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 923 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 63.

The spelling of 474329728656 in words is "four hundred seventy-four billion, three hundred twenty-nine million, seven hundred twenty-eight thousand, six hundred fifty-six".