479186048880 has 2880 divisors, whose sum is σ = 2339130286080. Its totient is φ = 89413632000.

The previous prime is 479186048879. The next prime is 479186048959. The reversal of 479186048880 is 88840681974.

479186048880 is a `hidden beast` number, since 4 + 7 + 9 + 18 + 60 + 488 + 80 = 666.

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 575 ways as a sum of consecutive naturals, for example, 6749099245 + ... + 6749099315.

It is an arithmetic number, because the mean of its divisors is an integer number (812198016).

Almost surely, 2^479186048880 is an apocalyptic number.

479186048880 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 479186048880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169565143040).

479186048880 is an abundant number, since it is smaller than the sum of its proper divisors (1859944237200).

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

479186048880 is a wasteful number, since it uses less digits than its factorization.

479186048880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 479186048880 in words is "four hundred seventy-nine billion, one hundred eighty-six million, forty-eight thousand, eight hundred eighty".