475170312960 has 1440 divisors, whose sum is σ = 2166795671040. Its totient is φ = 96793657344.

The previous prime is 475170312931. The next prime is 475170312961. The reversal of 475170312960 is 69213071574.

475170312960 is a `hidden beast` number, since 4 + 7 + 517 + 0 + 3 + 129 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (475170312961) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 234419467 + ... + 234421493.

It is an arithmetic number, because the mean of its divisors is an integer number (1504719216).

Almost surely, 2^475170312960 is an apocalyptic number.

475170312960 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 475170312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083397835520).

475170312960 is an abundant number, since it is smaller than the sum of its proper divisors (1691625358080).

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

475170312960 is a wasteful number, since it uses less digits than its factorization.

475170312960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 475170312960 in words is "four hundred seventy-five billion, one hundred seventy million, three hundred twelve thousand, nine hundred sixty".