479974858723584 has 1728 divisors, whose sum is σ = 1701030567075840. Its totient is φ = 130707269222400.

The previous prime is 479974858723583. The next prime is 479974858723589. The reversal of 479974858723584 is 485327858479974.

479974858723584 is a `hidden beast` number, since 4 + 7 + 9 + 9 + 7 + 485 + 8 + 72 + 3 + 58 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a junction number, because it is equal to n+sod(n) for n = 479974858723494 and 479974858723503.

It is not an unprimeable number, because it can be changed into a prime (479974858723583) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1108486971432 + ... + 1108486971864.

It is an arithmetic number, because the mean of its divisors is an integer number (984392689280).

Almost surely, 2^{479974858723584} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479974858723584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850515283537920).

479974858723584 is an abundant number, since it is smaller than the sum of its proper divisors (1221055708352256).

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

479974858723584 is a wasteful number, since it uses less digits than its factorization.

479974858723584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 684 counting only the distinct ones).

The product of its digits is 136559001600, while the sum is 90.

The spelling of 479974858723584 in words is "four hundred seventy-nine trillion, nine hundred seventy-four billion, eight hundred fifty-eight million, seven hundred twenty-three thousand, five hundred eighty-four".