479882566800 has 1920 divisors, whose sum is σ = 2286964736000. Its totient is φ = 92714803200.

The previous prime is 479882566789. The next prime is 479882566853. The reversal of 479882566800 is 8665288974.

479882566800 is a `hidden beast` number, since 479 + 8 + 8 + 25 + 66 + 80 + 0 = 666.

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

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 383 ways as a sum of consecutive naturals, for example, 578868786 + ... + 578869614.

Almost surely, 2^479882566800 is an apocalyptic number.

479882566800 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 479882566800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143482368000).

479882566800 is an abundant number, since it is smaller than the sum of its proper divisors (1807082169200).

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

479882566800 is a wasteful number, since it uses less digits than its factorization.

479882566800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 926 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 479882566800 in words is "four hundred seventy-nine billion, eight hundred eighty-two million, five hundred sixty-six thousand, eight hundred".