475918961664 has 176 divisors, whose sum is σ = 1325559905280. Its totient is φ = 151523328000.

The previous prime is 475918961621. The next prime is 475918961669. The reversal of 475918961664 is 466169819574.

It is a junction number, because it is equal to n+sod(n) for n = 475918961595 and 475918961604.

It is not an unprimeable number, because it can be changed into a prime (475918961669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53058172 + ... + 53067140.

Almost surely, 2^475918961664 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 475918961664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662779952640).

475918961664 is an abundant number, since it is smaller than the sum of its proper divisors (849640943616).

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

475918961664 is a wasteful number, since it uses less digits than its factorization.

475918961664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9766 (or 9748 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 66.

The spelling of 475918961664 in words is "four hundred seventy-five billion, nine hundred eighteen million, nine hundred sixty-one thousand, six hundred sixty-four".