479173759664080 has 240 divisors, whose sum is σ = 1258122798987264. Its totient is φ = 169453262684160.

The previous prime is 479173759664053. The next prime is 479173759664129. The reversal of 479173759664080 is 80466957371974.

It is a junction number, because it is equal to n+sod(n) for n = 479173759663988 and 479173759664006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34761417 + ... + 46547863.

Almost surely, 2^{479173759664080} is an apocalyptic number.

479173759664080 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 479173759664080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629061399493632).

479173759664080 is an abundant number, since it is smaller than the sum of its proper divisors (778949039323184).

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

479173759664080 is a wasteful number, since it uses less digits than its factorization.

479173759664080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11786614 (or 11786595 counting only the distinct ones).

The product of its (nonzero) digits is 1920360960, while the sum is 76.

The spelling of 479173759664080 in words is "four hundred seventy-nine trillion, one hundred seventy-three billion, seven hundred fifty-nine million, six hundred sixty-four thousand, eighty".