5656264416 has 144 divisors (see below), whose sum is σ = 17795127168. Its totient is φ = 1689811200.

The previous prime is 5656264409. The next prime is 5656264417. The reversal of 5656264416 is 6144626565.

5656264416 is a `hidden beast` number, since 5 + 6 + 5 + 626 + 4 + 4 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5656264417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212355 + ... + 237501.

It is an arithmetic number, because the mean of its divisors is an integer number (123577272).

Almost surely, 2^5656264416 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 5656264416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8897563584).

5656264416 is an abundant number, since it is smaller than the sum of its proper divisors (12138862752).

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

5656264416 is a wasteful number, since it uses less digits than its factorization.

5656264416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25245 (or 25234 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 5656264416 is about 75208.1406232065. The cubic root of 5656264416 is about 1781.7355054921.

It can be divided in two parts, 5656 and 264416, that added together give a palindrome (270072).

The spelling of 5656264416 in words is "five billion, six hundred fifty-six million, two hundred sixty-four thousand, four hundred sixteen".