470548674241632 has 1920 divisors, whose sum is σ = 1726797574656000. Its totient is φ = 122717555380224.

The previous prime is 470548674241627. The next prime is 470548674241663. The reversal of 470548674241632 is 236142476845074.

470548674241632 is a `hidden beast` number, since 4 + 7 + 0 + 5 + 48 + 6 + 7 + 424 + 163 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 470548674241632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 360021938323 + ... + 360021939629.

It is an arithmetic number, because the mean of its divisors is an integer number (899373736800).

Almost surely, 2^{470548674241632} is an apocalyptic number.

470548674241632 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 470548674241632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863398787328000).

470548674241632 is an abundant number, since it is smaller than the sum of its proper divisors (1256248900414368).

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

470548674241632 is a wasteful number, since it uses less digits than its factorization.

470548674241632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 63.

The spelling of 470548674241632 in words is "four hundred seventy trillion, five hundred forty-eight billion, six hundred seventy-four million, two hundred forty-one thousand, six hundred thirty-two".