67668686676 has 144 divisors (see below), whose sum is σ = 180300556800. Its totient is φ = 21357458496.

The previous prime is 67668686663. The next prime is 67668686689.

It is a happy number.

67668686676 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (67668686663) and next prime (67668686689).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53747335 + ... + 53748593.

It is an arithmetic number, because the mean of its divisors is an integer number (1252087200).

Almost surely, 2^67668686676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67668686676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90150278400).

67668686676 is an abundant number, since it is smaller than the sum of its proper divisors (112631870124).

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

67668686676 is a wasteful number, since it uses less digits than its factorization.

67668686676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 1893 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 72.

The spelling of 67668686676 in words is "sixty-seven billion, six hundred sixty-eight million, six hundred eighty-six thousand, six hundred seventy-six".