6624000224 has 72 divisors (see below), whose sum is σ = 13939445520. Its totient is φ = 3097788416.

The previous prime is 6624000209. The next prime is 6624000239. The reversal of 6624000224 is 4220004266.

It is an interprime number because it is at equal distance from previous prime (6624000209) and next prime (6624000239).

It is a junction number, because it is equal to n+sod(n) for n = 6624000193 and 6624000202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1542272 + ... + 1546560.

It is an arithmetic number, because the mean of its divisors is an integer number (193603410).

Almost surely, 2^6624000224 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 6624000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6969722760).

6624000224 is an abundant number, since it is smaller than the sum of its proper divisors (7315445296).

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

6624000224 is a wasteful number, since it uses less digits than its factorization.

6624000224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4500 (or 4475 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 6624000224 is about 81387.9611736281. The cubic root of 6624000224 is about 1878.0483957703.

The spelling of 6624000224 in words is "six billion, six hundred twenty-four million, two hundred twenty-four", and thus it is an aban number.