66966078168 has 192 divisors, whose sum is σ = 209541945600. Its totient is φ = 19120400640.

The previous prime is 66966078167. The next prime is 66966078169. The reversal of 66966078168 is 86187066966.

66966078168 is a `hidden beast` number, since 6 + 6 + 9 + 6 + 607 + 8 + 16 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (66966078167) and next prime (66966078169).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66966078163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1193038 + ... + 1247906.

It is an arithmetic number, because the mean of its divisors is an integer number (1091364300).

Almost surely, 2^66966078168 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 66966078168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104770972800).

66966078168 is an abundant number, since it is smaller than the sum of its proper divisors (142575867432).

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

66966078168 is a wasteful number, since it uses less digits than its factorization.

66966078168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54982 (or 54975 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 66966078168 in words is "sixty-six billion, nine hundred sixty-six million, seventy-eight thousand, one hundred sixty-eight".