6679340668 has 384 divisors, whose sum is σ = 17638871040. Its totient is φ = 2128896000.

The previous prime is 6679340663. The next prime is 6679340671. The reversal of 6679340668 is 8660439766.

It is a super-3 number, since 3×6679340668³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6679340663) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 109497358 + ... + 109497418.

It is an arithmetic number, because the mean of its divisors is an integer number (45934560).

Almost surely, 2^6679340668 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 6679340668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8819435520).

6679340668 is an abundant number, since it is smaller than the sum of its proper divisors (10959530372).

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

6679340668 is a wasteful number, since it uses less digits than its factorization.

6679340668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 55.

The square root of 6679340668 is about 81727.2333313688. The cubic root of 6679340668 is about 1883.2639719532.

The spelling of 6679340668 in words is "six billion, six hundred seventy-nine million, three hundred forty thousand, six hundred sixty-eight".