7668616224 has 96 divisors (see below), whose sum is σ = 21336327936. Its totient is φ = 2403348480.

The previous prime is 7668616217. The next prime is 7668616243. The reversal of 7668616224 is 4226168667.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2163894 + ... + 2167434.

It is an arithmetic number, because the mean of its divisors is an integer number (222253416).

Almost surely, 2^7668616224 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 7668616224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10668163968).

7668616224 is an abundant number, since it is smaller than the sum of its proper divisors (13667711712).

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

7668616224 is a wasteful number, since it uses less digits than its factorization.

7668616224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4898 (or 4890 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 7668616224 is about 87570.6356263331. The cubic root of 7668616224 is about 1971.9943577745.

The spelling of 7668616224 in words is "seven billion, six hundred sixty-eight million, six hundred sixteen thousand, two hundred twenty-four".