6666679200 has 288 divisors, whose sum is σ = 23417626176. Its totient is φ = 1641103360.

The previous prime is 6666679189. The next prime is 6666679249. The reversal of 6666679200 is 29766666.

It is a super-2 number, since 2×6666679200² = 88889223111425280000, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6666679200.

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 47 ways as a sum of consecutive naturals, for example, 2160859 + ... + 2163941.

It is an arithmetic number, because the mean of its divisors is an integer number (81311202).

Almost surely, 2^6666679200 is an apocalyptic number.

6666679200 is a gapful number since it is divisible by the number (60) 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 6666679200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11708813088).

6666679200 is an abundant number, since it is smaller than the sum of its proper divisors (16750946976).

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

6666679200 is a wasteful number, since it uses less digits than its factorization.

6666679200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3176 (or 3163 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The square root of 6666679200 is about 81649.7348434151. The cubic root of 6666679200 is about 1882.0732371931.

The spelling of 6666679200 in words is "six billion, six hundred sixty-six million, six hundred seventy-nine thousand, two hundred".