479197762560 has 1760 divisors, whose sum is σ = 2049279015168. Its totient is φ = 105743646720.

The previous prime is 479197762553. The next prime is 479197762609. The reversal of 479197762560 is 65267791974.

479197762560 is a `hidden beast` number, since 4 + 7 + 9 + 1 + 9 + 7 + 7 + 62 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2869447597 + ... + 2869447763.

Almost surely, 2^479197762560 is an apocalyptic number.

479197762560 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 479197762560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024639507584).

479197762560 is an abundant number, since it is smaller than the sum of its proper divisors (1570081252608).

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

479197762560 is a wasteful number, since it uses less digits than its factorization.

479197762560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 479197762560 in words is "four hundred seventy-nine billion, one hundred ninety-seven million, seven hundred sixty-two thousand, five hundred sixty".