6671165506600 has 192 divisors, whose sum is σ = 18534970828800. Its totient is φ = 2183313242880.

The previous prime is 6671165506597. The next prime is 6671165506601. The reversal of 6671165506600 is 66055611766.

It is not an unprimeable number, because it can be changed into a prime (6671165506601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15468691 + ... + 15894109.

It is an arithmetic number, because the mean of its divisors is an integer number (96536306400).

Almost surely, 2^{6671165506600} 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 6671165506600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9267485414400).

6671165506600 is an abundant number, since it is smaller than the sum of its proper divisors (11863805322200).

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

6671165506600 is a wasteful number, since it uses less digits than its factorization.

6671165506600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425952 (or 425943 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 49.

It can be divided in two parts, 667116 and 5506600, that added together give a palindrome (6173716).

The spelling of 6671165506600 in words is "six trillion, six hundred seventy-one billion, one hundred sixty-five million, five hundred six thousand, six hundred".