7668627696 has 300 divisors, whose sum is σ = 24112298232. Its totient is φ = 2350902528.

The previous prime is 7668627679. The next prime is 7668627721. The reversal of 7668627696 is 6967268667.

Its product of digits (54867456) is a multiple of the sum of its prime divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17310451 + ... + 17310893.

Almost surely, 2^7668627696 is an apocalyptic number.

7668627696 is a gapful number since it is divisible by the number (76) 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 7668627696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12056149116).

7668627696 is an abundant number, since it is smaller than the sum of its proper divisors (16443670536).

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

7668627696 is a wasteful number, since it uses less digits than its factorization.

7668627696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 504 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The square root of 7668627696 is about 87570.7011277174. The cubic root of 7668627696 is about 1971.9953411205.

The spelling of 7668627696 in words is "seven billion, six hundred sixty-eight million, six hundred twenty-seven thousand, six hundred ninety-six".