676864444468676 has 48 divisors (see below), whose sum is σ = 1213598004079104. Its totient is φ = 330169086990336.

The previous prime is 676864444468673. The next prime is 676864444468687.

676864444468676 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (86) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (676864444468673) 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 15 ways as a sum of consecutive naturals, for example, 174812336 + ... + 178642328.

It is an arithmetic number, because the mean of its divisors is an integer number (25283291751648).

Almost surely, 2^{676864444468676} is an apocalyptic number.

It is an amenable number.

676864444468676 is a deficient number, since it is larger than the sum of its proper divisors (536733559610428).

676864444468676 is a wasteful number, since it uses less digits than its factorization.

676864444468676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3833060 (or 3833058 counting only the distinct ones).

The product of its digits is 149824733184, while the sum is 86.

The spelling of 676864444468676 in words is "six hundred seventy-six trillion, eight hundred sixty-four billion, four hundred forty-four million, four hundred sixty-eight thousand, six hundred seventy-six".