479956587364800 has 4032 divisors, whose sum is σ = 2314522111104000. Its totient is φ = 95631154053120.

The previous prime is 479956587364789. The next prime is 479956587364829. The reversal of 479956587364800 is 8463785659974.

479956587364800 is a `hidden beast` number, since 4 + 7 + 9 + 9 + 5 + 65 + 8 + 73 + 6 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a self number, because there is not a number n which added to its sum of digits gives 479956587364800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 187703005122 + ... + 187703007678.

It is an arithmetic number, because the mean of its divisors is an integer number (574038222000).

Almost surely, 2^{479956587364800} is an apocalyptic number.

479956587364800 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 479956587364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157261055552000).

479956587364800 is an abundant number, since it is smaller than the sum of its proper divisors (1834565523739200).

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

479956587364800 is a wasteful number, since it uses less digits than its factorization.

479956587364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2993 (or 2965 counting only the distinct ones).

The product of its (nonzero) digits is 10973491200, while the sum is 81.

The spelling of 479956587364800 in words is "four hundred seventy-nine trillion, nine hundred fifty-six billion, five hundred eighty-seven million, three hundred sixty-four thousand, eight hundred".