472879655424 has 320 divisors, whose sum is σ = 1541331348480. Its totient is φ = 141952757760.

The previous prime is 472879655393. The next prime is 472879655431. The reversal of 472879655424 is 424556978274.

472879655424 is a `hidden beast` number, since 4 + 7 + 2 + 8 + 79 + 6 + 554 + 2 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16256317 + ... + 16285379.

It is an arithmetic number, because the mean of its divisors is an integer number (4816660464).

Almost surely, 2^472879655424 is an apocalyptic number.

472879655424 is a gapful number since it is divisible by the number (44) 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 472879655424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770665674240).

472879655424 is an abundant number, since it is smaller than the sum of its proper divisors (1068451693056).

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

472879655424 is a wasteful number, since it uses less digits than its factorization.

472879655424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29208 (or 29186 counting only the distinct ones).

The product of its digits is 135475200, while the sum is 63.

The spelling of 472879655424 in words is "four hundred seventy-two billion, eight hundred seventy-nine million, six hundred fifty-five thousand, four hundred twenty-four".