479895917760 has 588 divisors, whose sum is σ = 1993121630208. Its totient is φ = 109687882752.

The previous prime is 479895917759. The next prime is 479895917797. The reversal of 479895917760 is 67719598974.

479895917760 is a `hidden beast` number, since 479 + 8 + 9 + 5 + 91 + 7 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (588).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 11409729 + ... + 11451711.

Almost surely, 2^479895917760 is an apocalyptic number.

479895917760 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 479895917760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996560815104).

479895917760 is an abundant number, since it is smaller than the sum of its proper divisors (1513225712448).

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

479895917760 is an equidigital number, since it uses as much as digits as its factorization.

479895917760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42032 (or 42000 counting only the distinct ones).

The product of its (nonzero) digits is 240045120, while the sum is 72.

The spelling of 479895917760 in words is "four hundred seventy-nine billion, eight hundred ninety-five million, nine hundred seventeen thousand, seven hundred sixty".