6672332766 has 96 divisors (see below), whose sum is σ = 15181407360. Its totient is φ = 1952026560.

The previous prime is 6672332761. The next prime is 6672332837.

6672332766 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6672332761) 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, 3732925 + ... + 3734711.

It is an arithmetic number, because the mean of its divisors is an integer number (158139660).

Almost surely, 2^6672332766 is an apocalyptic number.

6672332766 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 6672332766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7590703680).

6672332766 is an abundant number, since it is smaller than the sum of its proper divisors (8509074594).

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

6672332766 is a wasteful number, since it uses less digits than its factorization.

6672332766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 1979 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 48.

The square root of 6672332766 is about 81684.3483538921. The cubic root of 6672332766 is about 1882.6051071366.

The spelling of 6672332766 in words is "six billion, six hundred seventy-two million, three hundred thirty-two thousand, seven hundred sixty-six".