479021797920960 has 1344 divisors, whose sum is σ = 2042429870407680. Its totient is φ = 100562048778240.

The previous prime is 479021797920959. The next prime is 479021797920971. The reversal of 479021797920960 is 69029797120974.

479021797920960 is a `hidden beast` number, since 47 + 90 + 2 + 179 + 79 + 209 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 191 ways as a sum of consecutive naturals, for example, 2654961631 + ... + 2655142049.

Almost surely, 2^{479021797920960} is an apocalyptic number.

479021797920960 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 479021797920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021214935203840).

479021797920960 is an abundant number, since it is smaller than the sum of its proper divisors (1563408072486720).

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

479021797920960 is a wasteful number, since it uses less digits than its factorization.

479021797920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180654 (or 180641 counting only the distinct ones).

The product of its (nonzero) digits is 216040608, while the sum is 72.

The spelling of 479021797920960 in words is "four hundred seventy-nine trillion, twenty-one billion, seven hundred ninety-seven million, nine hundred twenty thousand, nine hundred sixty".