475585966080 has 1040 divisors, whose sum is σ = 1826815795200. Its totient is φ = 118006087680.

The previous prime is 475585966043. The next prime is 475585966081. The reversal of 475585966080 is 80669585574.

475585966080 is a `hidden beast` number, since 47 + 5 + 585 + 9 + 6 + 6 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×475585966080² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 475585965999 and 475585966017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475585966081) 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 79 ways as a sum of consecutive naturals, for example, 2489978785 + ... + 2489978975.

Almost surely, 2^475585966080 is an apocalyptic number.

475585966080 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 475585966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913407897600).

475585966080 is an abundant number, since it is smaller than the sum of its proper divisors (1351229829120).

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

475585966080 is a wasteful number, since it uses less digits than its factorization.

475585966080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 475585966080 in words is "four hundred seventy-five billion, five hundred eighty-five million, nine hundred sixty-six thousand, eighty".