7644224448 has 224 divisors, whose sum is σ = 25793395200. Its totient is φ = 2174681088.

The previous prime is 7644224417. The next prime is 7644224461. The reversal of 7644224448 is 8444224467.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×7644224448² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3107443 + ... + 3109901.

Almost surely, 2^7644224448 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 7644224448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12896697600).

7644224448 is an abundant number, since it is smaller than the sum of its proper divisors (18149170752).

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

7644224448 is a wasteful number, since it uses less digits than its factorization.

7644224448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2744 (or 2728 counting only the distinct ones).

The product of its digits is 1376256, while the sum is 45.

The square root of 7644224448 is about 87431.2555554362. The cubic root of 7644224448 is about 1969.9013450901.

The spelling of 7644224448 in words is "seven billion, six hundred forty-four million, two hundred twenty-four thousand, four hundred forty-eight".