475899193728 has 768 divisors, whose sum is σ = 1684126080000. Its totient is φ = 130945351680.

The previous prime is 475899193717. The next prime is 475899193729. The reversal of 475899193728 is 827391998574.

475899193728 is a `hidden beast` number, since 4 + 7 + 589 + 9 + 1 + 9 + 37 + 2 + 8 = 666.

475899193728 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475899193729) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 794489173 + ... + 794489771.

It is an arithmetic number, because the mean of its divisors is an integer number (2192872500).

Almost surely, 2^475899193728 is an apocalyptic number.

475899193728 is a gapful number since it is divisible by the number (48) 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 475899193728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842063040000).

475899193728 is an abundant number, since it is smaller than the sum of its proper divisors (1208226886272).

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

475899193728 is an equidigital number, since it uses as much as digits as its factorization.

475899193728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 741 counting only the distinct ones).

The product of its digits is 274337280, while the sum is 72.

The spelling of 475899193728 in words is "four hundred seventy-five billion, eight hundred ninety-nine million, one hundred ninety-three thousand, seven hundred twenty-eight".