66776267766 has 64 divisors (see below), whose sum is σ = 145353035520. Its totient is φ = 20328662400.

The previous prime is 66776267759. The next prime is 66776267773.

66776267766 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (66776267759) and next prime (66776267773).

It is a junction number, because it is equal to n+sod(n) for n = 66776267697 and 66776267706.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 17668465 + ... + 17672243.

It is an arithmetic number, because the mean of its divisors is an integer number (2271141180).

Almost surely, 2^66776267766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66776267766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72676517760).

66776267766 is an abundant number, since it is smaller than the sum of its proper divisors (78576767754).

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

66776267766 is a wasteful number, since it uses less digits than its factorization.

66776267766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6141.

The product of its digits is 224042112, while the sum is 66.

The spelling of 66776267766 in words is "sixty-six billion, seven hundred seventy-six million, two hundred sixty-seven thousand, seven hundred sixty-six".