6677997766 has 32 divisors (see below), whose sum is σ = 11578152960. Its totient is φ = 2854992000.

The previous prime is 6677997757. The next prime is 6677997769.

6677997766 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 = 6677997695 and 6677997704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6677997769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 652791 + ... + 662941.

It is an arithmetic number, because the mean of its divisors is an integer number (361817280).

Almost surely, 2^6677997766 is an apocalyptic number.

6677997766 is a deficient number, since it is larger than the sum of its proper divisors (4900155194).

6677997766 is a wasteful number, since it uses less digits than its factorization.

6677997766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11940.

The product of its digits is 252047376, while the sum is 70.

The square root of 6677997766 is about 81719.0171624696. The cubic root of 6677997766 is about 1883.1377514878.

The spelling of 6677997766 in words is "six billion, six hundred seventy-seven million, nine hundred ninety-seven thousand, seven hundred sixty-six".