475768800000 has 1944 divisors, whose sum is σ = 2051310145248. Its totient is φ = 105431040000.

The previous prime is 475768799999. The next prime is 475768800007. The reversal of 475768800000 is 8867574.

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 (475768800007) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 20685599989 + ... + 20685600011.

It is an arithmetic number, because the mean of its divisors is an integer number (1055200692).

Almost surely, 2^475768800000 is an apocalyptic number.

475768800000 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 475768800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025655072624).

475768800000 is an abundant number, since it is smaller than the sum of its proper divisors (1575541345248).

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

475768800000 is a wasteful number, since it uses less digits than its factorization.

475768800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 475768800000 in words is "four hundred seventy-five billion, seven hundred sixty-eight million, eight hundred thousand".