6679229766 has 48 divisors (see below), whose sum is σ = 14708736000. Its totient is φ = 2020498480.

The previous prime is 6679229761. The next prime is 6679229833.

6679229766 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6679229766² = 89224220534040829512, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6679229761) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 427195 + ... + 442553.

It is an arithmetic number, because the mean of its divisors is an integer number (306432000).

Almost surely, 2^6679229766 is an apocalyptic number.

6679229766 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6679229766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7354368000).

6679229766 is an abundant number, since it is smaller than the sum of its proper divisors (8029506234).

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

6679229766 is a wasteful number, since it uses less digits than its factorization.

6679229766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15985 (or 15974 counting only the distinct ones).

The product of its digits is 20575296, while the sum is 60.

The square root of 6679229766 is about 81726.5548399050. The cubic root of 6679229766 is about 1883.2535488238.

The spelling of 6679229766 in words is "six billion, six hundred seventy-nine million, two hundred twenty-nine thousand, seven hundred sixty-six".