7668

7668 is a natural number that follows 7667 and precedes 7669. In prime factorization form it equals 2^2 × 3^3 × 71, and it has 24 positive divisors. The digit sum is 7 + 6 + 6 + 8 = 27, so 7668 is divisible by 9 and by 27, making it a Harshad number in base 10. As an even number, it is divisible by 2 and 4 as well, among other combinations of its prime factors.

In mathematical contexts, 7668 can appear in discussions of divisibility, factorization, and modular arithmetic. Its factorization into 2^2 × 3^3 × 71 provides a compact view of its divisor structure, and the presence of the factor 71 means it is not a power of any single prime.

Outside pure arithmetic, 7668 may serve as a numeric designation in various catalogs, inventories, or datasets. In astronomy, numeric designations such as 7668 are used to identify minor planets or other small celestial bodies once their orbits are confirmed and they are cataloged. Without additional qualifiers, 7668 remains primarily a four-digit numeric value within the broader system of numbering natural numbers.