475812864000 has 672 divisors, whose sum is σ = 1816860807216. Its totient is φ = 119380377600.

The previous prime is 475812863993. The next prime is 475812864001. The reversal of 475812864000 is 468218574.

475812864000 is a `hidden beast` number, since 4 + 7 + 581 + 2 + 8 + 64 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 117193936896 + 358618927104 = 342336^2 + 598848^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475812864001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156670482 + ... + 156673518.

Almost surely, 2^475812864000 is an apocalyptic number.

475812864000 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 475812864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908430403608).

475812864000 is an abundant number, since it is smaller than the sum of its proper divisors (1341047943216).

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

475812864000 is a wasteful number, since it uses less digits than its factorization.

475812864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3101 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 475812864000 in words is "four hundred seventy-five billion, eight hundred twelve million, eight hundred sixty-four thousand".