470815083648000 has 4224 divisors, whose sum is σ = 2141138533847040. Its totient is φ = 96846210662400.

The previous prime is 470815083647929. The next prime is 470815083648001. The reversal of 470815083648000 is 846380518074.

470815083648000 is a `hidden beast` number, since 4 + 7 + 0 + 8 + 150 + 8 + 3 + 6 + 480 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470815083648001) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 1008169343767 + ... + 1008169344233.

Almost surely, 2^{470815083648000} is an apocalyptic number.

470815083648000 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 470815083648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070569266923520).

470815083648000 is an abundant number, since it is smaller than the sum of its proper divisors (1670323450199040).

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

470815083648000 is a wasteful number, since it uses less digits than its factorization.

470815083648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 470815083648000 in words is "four hundred seventy trillion, eight hundred fifteen billion, eighty-three million, six hundred forty-eight thousand".