479500046568 has 256 divisors, whose sum is σ = 1358203392000. Its totient is φ = 156726835200.

The previous prime is 479500046537. The next prime is 479500046681. The reversal of 479500046568 is 865640005974.

479500046568 is a `hidden beast` number, since 4 + 79 + 5 + 0 + 0 + 0 + 4 + 6 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1172371548 + ... + 1172371956.

It is an arithmetic number, because the mean of its divisors is an integer number (5305482000).

Almost surely, 2^479500046568 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 479500046568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679101696000).

479500046568 is an abundant number, since it is smaller than the sum of its proper divisors (878703345432).

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

479500046568 is a wasteful number, since it uses less digits than its factorization.

479500046568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 479500046568 in words is "four hundred seventy-nine billion, five hundred million, forty-six thousand, five hundred sixty-eight".