67664733746676 has 96 divisors (see below), whose sum is σ = 178716207772032. Its totient is φ = 19744616816640.

The previous prime is 67664733746671. The next prime is 67664733746681.

67664733746676 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (67664733746671) and next prime (67664733746681).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67664733746671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70940521 + ... + 71888016.

It is an arithmetic number, because the mean of its divisors is an integer number (1861627164292).

Almost surely, 2^{67664733746676} is an apocalyptic number.

67664733746676 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

67664733746676 is an abundant number, since it is smaller than the sum of its proper divisors (111051474025356).

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

67664733746676 is a wasteful number, since it uses less digits than its factorization.

67664733746676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142828689 (or 142828687 counting only the distinct ones).

The product of its digits is 16131032064, while the sum is 78.

The spelling of 67664733746676 in words is "sixty-seven trillion, six hundred sixty-four billion, seven hundred thirty-three million, seven hundred forty-six thousand, six hundred seventy-six".