475633188864 has 128 divisors (see below), whose sum is σ = 1409264640000. Its totient is φ = 158544101376.

The previous prime is 475633188857. The next prime is 475633188881. The reversal of 475633188864 is 468881336574.

475633188864 is a `hidden beast` number, since 4 + 7 + 563 + 3 + 1 + 8 + 8 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×475633188864² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 615937 + ... + 1153535.

It is an arithmetic number, because the mean of its divisors is an integer number (11009880000).

Almost surely, 2^475633188864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475633188864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704632320000).

475633188864 is an abundant number, since it is smaller than the sum of its proper divisors (933631451136).

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

475633188864 is an frugal number, since it uses more digits than its factorization.

475633188864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537638 (or 537604 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 475633188864 in words is "four hundred seventy-five billion, six hundred thirty-three million, one hundred eighty-eight thousand, eight hundred sixty-four".