66768633686766 has 128 divisors (see below), whose sum is σ = 153944262236160. Its totient is φ = 19114929792000.

The previous prime is 66768633686743. The next prime is 66768633686779.

66768633686766 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 377825220 + ... + 378001896.

It is an arithmetic number, because the mean of its divisors is an integer number (1202689548720).

Almost surely, 2^{66768633686766} is an apocalyptic number.

66768633686766 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 66768633686766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76972131118080).

66768633686766 is an abundant number, since it is smaller than the sum of its proper divisors (87175628549394).

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

66768633686766 is a wasteful number, since it uses less digits than its factorization.

66768633686766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180970.

The product of its digits is 47405481984, while the sum is 84.

The spelling of 66768633686766 in words is "sixty-six trillion, seven hundred sixty-eight billion, six hundred thirty-three million, six hundred eighty-six thousand, seven hundred sixty-six".