479075319360 has 1008 divisors, whose sum is σ = 1902930871296. Its totient is φ = 110398464000.

The previous prime is 479075319337. The next prime is 479075319403. The reversal of 479075319360 is 63913570974.

It is a happy number.

479075319360 is a `hidden beast` number, since 4 + 79 + 0 + 7 + 531 + 9 + 36 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 479075319297 and 479075319306.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 658975317 + ... + 658976043.

Almost surely, 2^479075319360 is an apocalyptic number.

479075319360 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 479075319360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951465435648).

479075319360 is an abundant number, since it is smaller than the sum of its proper divisors (1423855551936).

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

479075319360 is a wasteful number, since it uses less digits than its factorization.

479075319360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 479075319360 in words is "four hundred seventy-nine billion, seventy-five million, three hundred nineteen thousand, three hundred sixty".