470555466514560 has 2048 divisors, whose sum is σ = 2057571370598400. Its totient is φ = 99308954714112.

The previous prime is 470555466514559. The next prime is 470555466514621. The reversal of 470555466514560 is 65415664555074.

It is a happy number.

470555466514560 is a `hidden beast` number, since 4 + 7 + 0 + 5 + 5 + 5 + 4 + 6 + 65 + 1 + 4 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9545291832 + ... + 9545341128.

It is an arithmetic number, because the mean of its divisors is an integer number (1004673520800).

Almost surely, 2^{470555466514560} is an apocalyptic number.

470555466514560 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 470555466514560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028785685299200).

470555466514560 is an abundant number, since it is smaller than the sum of its proper divisors (1587015904083840).

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

470555466514560 is a wasteful number, since it uses less digits than its factorization.

470555466514560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49475 (or 49457 counting only the distinct ones).

The product of its (nonzero) digits is 302400000, while the sum is 63.

The spelling of 470555466514560 in words is "four hundred seventy trillion, five hundred fifty-five billion, four hundred sixty-six million, five hundred fourteen thousand, five hundred sixty".