66327768 has 192 divisors, whose sum is σ = 210816000. Its totient is φ = 19274112.

The previous prime is 66327743. The next prime is 66327773. The reversal of 66327768 is 86772366.

66327768 is a `hidden beast` number, since 6 + 632 + 7 + 7 + 6 + 8 = 666.

66327768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 839553 + ... + 839631.

It is an arithmetic number, because the mean of its divisors is an integer number (1098000).

Almost surely, 2^66327768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66327768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105408000).

66327768 is an abundant number, since it is smaller than the sum of its proper divisors (144488232).

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

66327768 is a wasteful number, since it uses less digits than its factorization.

66327768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 120 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 66327768 is about 8144.1861471850. The cubic root of 66327768 is about 404.7918820986.

It can be divided in two parts, 6632 and 7768, that added together give a square (14400 = 120²).

The spelling of 66327768 in words is "sixty-six million, three hundred twenty-seven thousand, seven hundred sixty-eight".