475242681600 has 756 divisors, whose sum is σ = 1811967018876. Its totient is φ = 123261419520.

The previous prime is 475242681587. The next prime is 475242681619. The reversal of 475242681600 is 6186242574.

475242681600 is a `hidden beast` number, since 4 + 7 + 524 + 2 + 68 + 1 + 60 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 54218191104 + 421024490496 = 232848^2 + 648864^2 .

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

It is a congruent number.

It is an unprimeable number.

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 83 ways as a sum of consecutive naturals, for example, 172625824 + ... + 172628576.

It is an arithmetic number, because the mean of its divisors is an integer number (2396781771).

Almost surely, 2^475242681600 is an apocalyptic number.

475242681600 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 475242681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905983509438).

475242681600 is an abundant number, since it is smaller than the sum of its proper divisors (1336724337276).

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

475242681600 is an equidigital number, since it uses as much as digits as its factorization.

475242681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 475242681600 in words is "four hundred seventy-five billion, two hundred forty-two million, six hundred eighty-one thousand, six hundred".