479083089576960 has 880 divisors, whose sum is σ = 1933246794327552. Its totient is φ = 112394826547200.

The previous prime is 479083089576913. The next prime is 479083089577039. The reversal of 479083089576960 is 69675980380974.

479083089576960 is a `hidden beast` number, since 4 + 7 + 9 + 0 + 8 + 30 + 8 + 9 + 576 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

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 479083089576960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 139725684 + ... + 143113356.

Almost surely, 2^{479083089576960} is an apocalyptic number.

479083089576960 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 479083089576960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966623397163776).

479083089576960 is an abundant number, since it is smaller than the sum of its proper divisors (1454163704750592).

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

479083089576960 is a wasteful number, since it uses less digits than its factorization.

479083089576960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387752 (or 3387725 counting only the distinct ones).

The product of its (nonzero) digits is 4938071040, while the sum is 81.

The spelling of 479083089576960 in words is "four hundred seventy-nine trillion, eighty-three billion, eighty-nine million, five hundred seventy-six thousand, nine hundred sixty".