7668227200 has 96 divisors (see below), whose sum is σ = 19210288320. Its totient is φ = 3024000000.

The previous prime is 7668227197. The next prime is 7668227201. The reversal of 7668227200 is 27228667.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (7668227201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 210325 + ... + 244075.

It is an arithmetic number, because the mean of its divisors is an integer number (200107170).

Almost surely, 2^7668227200 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 7668227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9605144160).

7668227200 is an abundant number, since it is smaller than the sum of its proper divisors (11542061120).

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

7668227200 is a wasteful number, since it uses less digits than its factorization.

7668227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33846 (or 33829 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 7668227200 is about 87568.4143969731. The cubic root of 7668227200 is about 1971.9610112062.

The spelling of 7668227200 in words is "seven billion, six hundred sixty-eight million, two hundred twenty-seven thousand, two hundred".