6677384837766 has 64 divisors (see below), whose sum is σ = 14302570899456. Its totient is φ = 2070896832000.

The previous prime is 6677384837707. The next prime is 6677384837789.

6677384837766 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 6677384837691 and 6677384837700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6120171 + ... + 7128201.

It is an arithmetic number, because the mean of its divisors is an integer number (223477670304).

Almost surely, 2^{6677384837766} is an apocalyptic number.

6677384837766 is an abundant number, since it is smaller than the sum of its proper divisors (7625186061690).

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

6677384837766 is a wasteful number, since it uses less digits than its factorization.

6677384837766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008797.

The product of its digits is 7169347584, while the sum is 78.

The spelling of 6677384837766 in words is "six trillion, six hundred seventy-seven billion, three hundred eighty-four million, eight hundred thirty-seven thousand, seven hundred sixty-six".