5664448512 has 84 divisors (see below), whose sum is σ = 16363176570. Its totient is φ = 1888124928.

The previous prime is 5664448481. The next prime is 5664448513. The reversal of 5664448512 is 2158444665.

It is a happy number.

5664448512 is a `hidden beast` number, since 56 + 6 + 44 + 48 + 512 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3036450816 + 2627997696 = 55104^2 + 51264^2 .

It is not an unprimeable number, because it can be changed into a prime (5664448513) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 35314 + ... + 112142.

Almost surely, 2^5664448512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5664448512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8181588285).

5664448512 is an abundant number, since it is smaller than the sum of its proper divisors (10698728058).

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

5664448512 is an equidigital number, since it uses as much as digits as its factorization.

5664448512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76861 (or 76834 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 5664448512 is about 75262.5305979011. The cubic root of 5664448512 is about 1782.5944273358.

The spelling of 5664448512 in words is "five billion, six hundred sixty-four million, four hundred forty-eight thousand, five hundred twelve".