479706807513600 has 3600 divisors, whose sum is σ = 1966538437484544. Its totient is φ = 115077434572800.

The previous prime is 479706807513559. The next prime is 479706807513613. The reversal of 479706807513600 is 6315708607974.

479706807513600 is a `hidden beast` number, since 4 + 7 + 9 + 7 + 0 + 6 + 8 + 0 + 7 + 5 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2151151603089 + ... + 2151151603311.

Almost surely, 2^{479706807513600} is an apocalyptic number.

479706807513600 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 479706807513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983269218742272).

479706807513600 is an abundant number, since it is smaller than the sum of its proper divisors (1486831629970944).

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

479706807513600 is a wasteful number, since it uses less digits than its factorization.

479706807513600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 479706807513600 in words is "four hundred seventy-nine trillion, seven hundred six billion, eight hundred seven million, five hundred thirteen thousand, six hundred".