479093654016 has 640 divisors, whose sum is σ = 1545892128000. Its totient is φ = 145938972672.

The previous prime is 479093653979. The next prime is 479093654111. The reversal of 479093654016 is 610456390974.

479093654016 is a `hidden beast` number, since 4 + 7 + 9 + 0 + 93 + 6 + 540 + 1 + 6 = 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1511336290 + ... + 1511336606.

It is an arithmetic number, because the mean of its divisors is an integer number (2415456450).

Almost surely, 2^479093654016 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 479093654016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772946064000).

479093654016 is an abundant number, since it is smaller than the sum of its proper divisors (1066798473984).

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

479093654016 is a wasteful number, since it uses less digits than its factorization.

479093654016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 479093654016 in words is "four hundred seventy-nine billion, ninety-three million, six hundred fifty-four thousand, sixteen".