5656864224 has 288 divisors, whose sum is σ = 17471220480. Its totient is φ = 1601107200.

The previous prime is 5656864193. The next prime is 5656864229. The reversal of 5656864224 is 4224686565.

It is a happy number.

It is a super-2 number, since 2×5656864224² = 64000225697542244352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5656864229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79674109 + ... + 79674179.

It is an arithmetic number, because the mean of its divisors is an integer number (60663960).

Almost surely, 2^5656864224 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 5656864224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8735610240).

5656864224 is an abundant number, since it is smaller than the sum of its proper divisors (11814356256).

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

5656864224 is a wasteful number, since it uses less digits than its factorization.

5656864224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 106 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 48.

The square root of 5656864224 is about 75212.1281709273. The cubic root of 5656864224 is about 1781.7984835377.

The spelling of 5656864224 in words is "five billion, six hundred fifty-six million, eight hundred sixty-four thousand, two hundred twenty-four".