6666548100 has 144 divisors (see below), whose sum is σ = 19604870208. Its totient is φ = 1748828160.

The previous prime is 6666548041. The next prime is 6666548111. The reversal of 6666548100 is 18456666.

It is a super-2 number, since 2×6666548100² = 88885727139227220000, which contains 22 as substring.

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, 5615707 + ... + 5616893.

It is an arithmetic number, because the mean of its divisors is an integer number (136144932).

Almost surely, 2^6666548100 is an apocalyptic number.

6666548100 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 6666548100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9802435104).

6666548100 is an abundant number, since it is smaller than the sum of its proper divisors (12938322108).

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

6666548100 is a wasteful number, since it uses less digits than its factorization.

6666548100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1494 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 6666548100 is about 81648.9320199597. The cubic root of 6666548100 is about 1882.0609001454.

The spelling of 6666548100 in words is "six billion, six hundred sixty-six million, five hundred forty-eight thousand, one hundred".