479928924720000 has 2560 divisors, whose sum is σ = 2077686927360000. Its totient is φ = 106765102080000.

The previous prime is 479928924719989. The next prime is 479928924720107. The reversal of 479928924720000 is 27429829974.

479928924720000 is a `hidden beast` number, since 4 + 7 + 99 + 289 + 247 + 20 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 479928924720000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 84808077171 + ... + 84808082829.

It is an arithmetic number, because the mean of its divisors is an integer number (811596456000).

Almost surely, 2^{479928924720000} is an apocalyptic number.

479928924720000 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 479928924720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1038843463680000).

479928924720000 is an abundant number, since it is smaller than the sum of its proper divisors (1597758002640000).

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

479928924720000 is an equidigital number, since it uses as much as digits as its factorization.

479928924720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5859 (or 5826 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 479928924720000 in words is "four hundred seventy-nine trillion, nine hundred twenty-eight billion, nine hundred twenty-four million, seven hundred twenty thousand".