479862190080 has 1872 divisors, whose sum is σ = 2149487986464. Its totient is φ = 98099527680.

The previous prime is 479862190037. The next prime is 479862190099. The reversal of 479862190080 is 80091268974.

479862190080 is a `hidden beast` number, since 4 + 7 + 9 + 8 + 621 + 9 + 0 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a junction number, because it is equal to n+sod(n) for n = 479862189999 and 479862190026.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7162122207 + ... + 7162122273.

It is an arithmetic number, because the mean of its divisors is an integer number (1148230762).

Almost surely, 2^479862190080 is an apocalyptic number.

479862190080 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 479862190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074743993232).

479862190080 is an abundant number, since it is smaller than the sum of its proper divisors (1669625796384).

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

479862190080 is a wasteful number, since it uses less digits than its factorization.

479862190080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 479862190080 in words is "four hundred seventy-nine billion, eight hundred sixty-two million, one hundred ninety thousand, eighty".