470058329664 has 945 divisors, whose sum is σ = 1760893827329. Its totient is φ = 119789429760.

The previous prime is 470058329659. The next prime is 470058329687. The reversal of 470058329664 is 466923850074.

The square root of 470058329664 is 685608.

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

470058329664 is a `hidden beast` number, since 470 + 0 + 5 + 83 + 2 + 96 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 338863694400 + 131194635264 = 582120^2 + 362208^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 470058329664.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 8869025062 + ... + 8869025114.

Almost surely, 2^470058329664 is an apocalyptic number.

470058329664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

470058329664 is the 685608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470058329664

470058329664 is an abundant number, since it is smaller than the sum of its proper divisors (1290835497665).

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

470058329664 is an equidigital number, since it uses as much as digits as its factorization.

470058329664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 470058329664 in words is "four hundred seventy billion, fifty-eight million, three hundred twenty-nine thousand, six hundred sixty-four".