470660916800 has 336 divisors, whose sum is σ = 1239520040640. Its totient is φ = 175390064640.

The previous prime is 470660916793. The next prime is 470660916827. The reversal of 470660916800 is 8619066074.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 569117987 + ... + 569118813.

It is an arithmetic number, because the mean of its divisors is an integer number (3689047740).

Almost surely, 2^470660916800 is an apocalyptic number.

470660916800 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 470660916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619760020320).

470660916800 is an abundant number, since it is smaller than the sum of its proper divisors (768859123840).

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

470660916800 is a wasteful number, since it uses less digits than its factorization.

470660916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The spelling of 470660916800 in words is "four hundred seventy billion, six hundred sixty million, nine hundred sixteen thousand, eight hundred".