66768414144 has 56 divisors (see below), whose sum is σ = 184338894720. Its totient is φ = 21288478464.

The previous prime is 66768414127. The next prime is 66768414149. The reversal of 66768414144 is 44141486766.

66768414144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×66768414144² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66768414149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7555414 + ... + 7564245.

Almost surely, 2^66768414144 is an apocalyptic number.

66768414144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

66768414144 is an abundant number, since it is smaller than the sum of its proper divisors (117570480576).

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

66768414144 is a wasteful number, since it uses less digits than its factorization.

66768414144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15119697 (or 15119687 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 51.

The spelling of 66768414144 in words is "sixty-six billion, seven hundred sixty-eight million, four hundred fourteen thousand, one hundred forty-four".