470643792840 has 384 divisors, whose sum is σ = 1698108572160. Its totient is φ = 112320571392.

The previous prime is 470643792811. The next prime is 470643792851. The reversal of 470643792840 is 48297346074.

470643792840 is a `hidden beast` number, since 47 + 0 + 6 + 437 + 92 + 84 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23525722 + ... + 23545718.

It is an arithmetic number, because the mean of its divisors is an integer number (4422157740).

Almost surely, 2^470643792840 is an apocalyptic number.

470643792840 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 470643792840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849054286080).

470643792840 is an abundant number, since it is smaller than the sum of its proper divisors (1227464779320).

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

470643792840 is a wasteful number, since it uses less digits than its factorization.

470643792840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20181 (or 20174 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 470643792840 in words is "four hundred seventy billion, six hundred forty-three million, seven hundred ninety-two thousand, eight hundred forty".