66223875600 has 135 divisors (see below), whose sum is σ = 229868838823. Its totient is φ = 17655582720.

The previous prime is 66223875589. The next prime is 66223875607. The reversal of 66223875600 is 657832266.

It is a happy number.

The square root of 66223875600 is 257340.

It is a perfect power (a square), and thus also a powerful number.

66223875600 is a `hidden beast` number, since 6 + 6 + 2 + 2 + 3 + 87 + 560 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9975215376 + 56248660224 = 99876^2 + 237168^2 .

It is a super-3 number, since 3×66223875600³ (a number of 33 digits) contains 333 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66223875607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15438256 + ... + 15442544.

Almost surely, 2^66223875600 is an apocalyptic number.

66223875600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

66223875600 is the 257340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66223875600

66223875600 is an abundant number, since it is smaller than the sum of its proper divisors (163644963223).

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

66223875600 is an equidigital number, since it uses as much as digits as its factorization.

66223875600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8602 (or 4299 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 66223875600 in words is "sixty-six billion, two hundred twenty-three million, eight hundred seventy-five thousand, six hundred".