470632680672 has 768 divisors, whose sum is σ = 1711864627200. Its totient is φ = 109461749760.

The previous prime is 470632680659. The next prime is 470632680701. The reversal of 470632680672 is 276086236074.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 287496238 + ... + 287497874.

It is an arithmetic number, because the mean of its divisors is an integer number (2228990400).

Almost surely, 2^470632680672 is an apocalyptic number.

470632680672 is a gapful number since it is divisible by the number (42) 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 470632680672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855932313600).

470632680672 is an abundant number, since it is smaller than the sum of its proper divisors (1241231946528).

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

470632680672 is a wasteful number, since it uses less digits than its factorization.

470632680672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1799 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 51.

The spelling of 470632680672 in words is "four hundred seventy billion, six hundred thirty-two million, six hundred eighty thousand, six hundred seventy-two".