479961538560 has 1344 divisors, whose sum is σ = 2105826258240. Its totient is φ = 103054049280.

The previous prime is 479961538559. The next prime is 479961538579. The reversal of 479961538560 is 65835169974.

479961538560 is a `hidden beast` number, since 4 + 7 + 9 + 9 + 61 + 5 + 3 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 921231100 + ... + 921231620.

Almost surely, 2^479961538560 is an apocalyptic number.

479961538560 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 479961538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052913129120).

479961538560 is an abundant number, since it is smaller than the sum of its proper divisors (1625864719680).

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

479961538560 is a wasteful number, since it uses less digits than its factorization.

479961538560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 479961538560 in words is "four hundred seventy-nine billion, nine hundred sixty-one million, five hundred thirty-eight thousand, five hundred sixty".