479765575872 has 672 divisors, whose sum is σ = 1608366689280. Its totient is φ = 135303168000.

The previous prime is 479765575843. The next prime is 479765575897. The reversal of 479765575872 is 278575567974.

479765575872 is a `hidden beast` number, since 47 + 9 + 7 + 6 + 5 + 575 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (1037232000) is a multiple of the sum of its prime divisors (720).

It is a self number, because there is not a number n which added to its sum of digits gives 479765575872.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 920854972 + ... + 920855492.

Almost surely, 2^479765575872 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 479765575872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804183344640).

479765575872 is an abundant number, since it is smaller than the sum of its proper divisors (1128601113408).

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

479765575872 is a wasteful number, since it uses less digits than its factorization.

479765575872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 720 counting only the distinct ones).

The product of its digits is 1037232000, while the sum is 72.

The spelling of 479765575872 in words is "four hundred seventy-nine billion, seven hundred sixty-five million, five hundred seventy-five thousand, eight hundred seventy-two".