479245935168 has 2016 divisors, whose sum is σ = 2024520126720. Its totient is φ = 105106636800.

The previous prime is 479245935163. The next prime is 479245935173. The reversal of 479245935168 is 861539542974.

479245935168 is a `hidden beast` number, since 4 + 7 + 9 + 24 + 5 + 93 + 516 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (479245935163) and next prime (479245935173).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (479245935163) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4940679696 + ... + 4940679792.

Almost surely, 2^479245935168 is an apocalyptic number.

479245935168 is a gapful number since it is divisible by the number (48) 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 479245935168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012260063360).

479245935168 is an abundant number, since it is smaller than the sum of its proper divisors (1545274191552).

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

479245935168 is a wasteful number, since it uses less digits than its factorization.

479245935168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 193 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 479245935168 in words is "four hundred seventy-nine billion, two hundred forty-five million, nine hundred thirty-five thousand, one hundred sixty-eight".