66788288766 has 48 divisors (see below), whose sum is σ = 151285548960. Its totient is φ = 21294746880.

The previous prime is 66788288717. The next prime is 66788288771.

66788288766 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 66788288694 and 66788288703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66526 + ... + 371486.

It is an arithmetic number, because the mean of its divisors is an integer number (3151782270).

Almost surely, 2^66788288766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66788288766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75642774480).

66788288766 is an abundant number, since it is smaller than the sum of its proper divisors (84497260194).

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

66788288766 is a wasteful number, since it uses less digits than its factorization.

66788288766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305038 (or 304989 counting only the distinct ones).

The product of its digits is 520224768, while the sum is 72.

The spelling of 66788288766 in words is "sixty-six billion, seven hundred eighty-eight million, two hundred eighty-eight thousand, seven hundred sixty-six".