6677856587766 has 128 divisors (see below), whose sum is σ = 17411272704000. Its totient is φ = 1656970278912.

The previous prime is 6677856587737. The next prime is 6677856587767.

6677856587766 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 (6677856587767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24806860 + ... + 25074608.

It is an arithmetic number, because the mean of its divisors is an integer number (136025568000).

Almost surely, 2^{6677856587766} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6677856587766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8705636352000).

6677856587766 is an abundant number, since it is smaller than the sum of its proper divisors (10733416116234).

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

6677856587766 is a wasteful number, since it uses less digits than its factorization.

6677856587766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270478.

The product of its digits is 29872281600, while the sum is 84.

The spelling of 6677856587766 in words is "six trillion, six hundred seventy-seven billion, eight hundred fifty-six million, five hundred eighty-seven thousand, seven hundred sixty-six".