6677632367766 has 48 divisors (see below), whose sum is σ = 14604107341824. Its totient is φ = 2204971125552.

The previous prime is 6677632367761. The next prime is 6677632367773.

6677632367766 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 6677632367694 and 6677632367703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6677632367761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48325611 + ... + 48463593.

It is an arithmetic number, because the mean of its divisors is an integer number (304252236288).

Almost surely, 2^{6677632367766} is an apocalyptic number.

6677632367766 is an abundant number, since it is smaller than the sum of its proper divisors (7926474974058).

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

6677632367766 is a wasteful number, since it uses less digits than its factorization.

6677632367766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163225 (or 163222 counting only the distinct ones).

The product of its digits is 2016379008, while the sum is 72.

The spelling of 6677632367766 in words is "six trillion, six hundred seventy-seven billion, six hundred thirty-two million, three hundred sixty-seven thousand, seven hundred sixty-six".