6677667766 has 48 divisors (see below), whose sum is σ = 12751858512. Its totient is φ = 2593348800.

The previous prime is 6677667719. The next prime is 6677667767.

6677667766 is nontrivially palindromic in base 10.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 6677667698 and 6677667707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6677667767) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 331956 + ... + 351496.

It is an arithmetic number, because the mean of its divisors is an integer number (265663719).

Almost surely, 2^6677667766 is an apocalyptic number.

6677667766 is a deficient number, since it is larger than the sum of its proper divisors (6074190746).

6677667766 is a wasteful number, since it uses less digits than its factorization.

6677667766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19885 (or 19878 counting only the distinct ones).

The product of its digits is 112021056, while the sum is 64.

The square root of 6677667766 is about 81716.9980236670. The cubic root of 6677667766 is about 1883.1067319259.

The spelling of 6677667766 in words is "six billion, six hundred seventy-seven million, six hundred sixty-seven thousand, seven hundred sixty-six".