476431612368624 has 640 divisors, whose sum is σ = 1511029902182400. Its totient is φ = 142532904960000.

The previous prime is 476431612368611. The next prime is 476431612368631. The reversal of 476431612368624 is 426863216134674.

476431612368624 is a `hidden beast` number, since 4 + 7 + 6 + 4 + 3 + 1 + 612 + 3 + 6 + 8 + 6 + 2 + 4 = 666.

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, 75492250429 + ... + 75492256739.

It is an arithmetic number, because the mean of its divisors is an integer number (2360984222160).

Almost surely, 2^{476431612368624} is an apocalyptic number.

476431612368624 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 476431612368624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755514951091200).

476431612368624 is an abundant number, since it is smaller than the sum of its proper divisors (1034598289813776).

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

476431612368624 is a wasteful number, since it uses less digits than its factorization.

476431612368624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7142 (or 7130 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 63.

The spelling of 476431612368624 in words is "four hundred seventy-six trillion, four hundred thirty-one billion, six hundred twelve million, three hundred sixty-eight thousand, six hundred twenty-four".