6609268224 has 600 divisors, whose sum is σ = 22833507312. Its totient is φ = 1897758720.

The previous prime is 6609268223. The next prime is 6609268241. The reversal of 6609268224 is 4228629066.

It is a super-2 number, since 2×6609268224² = 87364852913552228352, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6609268224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6609268223) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 161201644 + ... + 161201684.

Almost surely, 2^6609268224 is an apocalyptic number.

6609268224 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6609268224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11416753656).

6609268224 is an abundant number, since it is smaller than the sum of its proper divisors (16224239088).

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

6609268224 is a wasteful number, since it uses less digits than its factorization.

6609268224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 6609268224 is about 81297.4060102781. The cubic root of 6609268224 is about 1876.6550813332.

The spelling of 6609268224 in words is "six billion, six hundred nine million, two hundred sixty-eight thousand, two hundred twenty-four".