479628362880 has 256 divisors, whose sum is σ = 1699863782400. Its totient is φ = 127812059136.

The previous prime is 479628362783. The next prime is 479628362929. The reversal of 479628362880 is 88263826974.

479628362880 is a `hidden beast` number, since 4 + 79 + 6 + 283 + 6 + 288 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27068904 + ... + 27086616.

It is an arithmetic number, because the mean of its divisors is an integer number (6640092900).

Almost surely, 2^479628362880 is an apocalyptic number.

479628362880 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 479628362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849931891200).

479628362880 is an abundant number, since it is smaller than the sum of its proper divisors (1220235419520).

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

479628362880 is a wasteful number, since it uses less digits than its factorization.

479628362880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19308 (or 19290 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 479628362880 in words is "four hundred seventy-nine billion, six hundred twenty-eight million, three hundred sixty-two thousand, eight hundred eighty".