470075913806400 has 4032 divisors, whose sum is σ = 1981766578821120. Its totient is φ = 104617820160000.

The previous prime is 470075913806309. The next prime is 470075913806431. The reversal of 470075913806400 is 4608319570074.

470075913806400 is a `hidden beast` number, since 4 + 7 + 0 + 0 + 7 + 591 + 3 + 8 + 0 + 6 + 40 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1006586538967 + ... + 1006586539433.

It is an arithmetic number, because the mean of its divisors is an integer number (491509568160).

Almost surely, 2^{470075913806400} is an apocalyptic number.

470075913806400 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 470075913806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990883289410560).

470075913806400 is an abundant number, since it is smaller than the sum of its proper divisors (1511690665014720).

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

470075913806400 is a wasteful number, since it uses less digits than its factorization.

470075913806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 470075913806400 in words is "four hundred seventy trillion, seventy-five billion, nine hundred thirteen million, eight hundred six thousand, four hundred".