66766368 has 48 divisors (see below), whose sum is σ = 179546976. Its totient is φ = 21711360.

The previous prime is 66766339. The next prime is 66766369. The reversal of 66766368 is 86366766.

It is a happy number.

66766368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×66766368² = 8915495791822848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (66766369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4546 + ... + 12417.

It is an arithmetic number, because the mean of its divisors is an integer number (3740562).

Almost surely, 2^66766368 is an apocalyptic number.

It is an amenable number.

66766368 is an abundant number, since it is smaller than the sum of its proper divisors (112780608).

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

66766368 is a wasteful number, since it uses less digits than its factorization.

66766368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17017 (or 17009 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 48.

The square root of 66766368 is about 8171.0689631161. The cubic root of 66766368 is about 405.6821669060.

The spelling of 66766368 in words is "sixty-six million, seven hundred sixty-six thousand, three hundred sixty-eight".