479951866183680 has 1200 divisors, whose sum is σ = 1889728515259200. Its totient is φ = 115568463052800.

The previous prime is 479951866183619. The next prime is 479951866183693. The reversal of 479951866183680 is 86381668159974.

It is a happy number.

479951866183680 is a `hidden beast` number, since 4 + 7 + 9 + 9 + 518 + 6 + 6 + 18 + 3 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 479951866183680.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10875595215 + ... + 10875639345.

It is an arithmetic number, because the mean of its divisors is an integer number (1574773762716).

Almost surely, 2^{479951866183680} is an apocalyptic number.

479951866183680 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 479951866183680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944864257629600).

479951866183680 is an abundant number, since it is smaller than the sum of its proper divisors (1409776649075520).

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

479951866183680 is a wasteful number, since it uses less digits than its factorization.

479951866183680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44336 (or 44301 counting only the distinct ones).

The product of its (nonzero) digits is 3762339840, while the sum is 81.

The spelling of 479951866183680 in words is "four hundred seventy-nine trillion, nine hundred fifty-one billion, eight hundred sixty-six million, one hundred eighty-three thousand, six hundred eighty".