6671166200 has 96 divisors (see below), whose sum is σ = 15971894400. Its totient is φ = 2589874560.

The previous prime is 6671166191. The next prime is 6671166217. The reversal of 6671166200 is 26611766.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1399421 + ... + 1404179.

It is an arithmetic number, because the mean of its divisors is an integer number (166373900).

Almost surely, 2^6671166200 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 6671166200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7985947200).

6671166200 is an abundant number, since it is smaller than the sum of its proper divisors (9300728200).

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

6671166200 is a wasteful number, since it uses less digits than its factorization.

6671166200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4981 (or 4972 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 6671166200 is about 81677.2073469704. The cubic root of 6671166200 is about 1882.4953848356.

Adding to 6671166200 its reverse (26611766), we get a palindrome (6697777966).

The spelling of 6671166200 in words is "six billion, six hundred seventy-one million, one hundred sixty-six thousand, two hundred".