66185746368768 has 288 divisors, whose sum is σ = 211523384804480. Its totient is φ = 20292876656640.

The previous prime is 66185746368719. The next prime is 66185746368769. The reversal of 66185746368768 is 86786364758166.

66185746368768 is a `hidden beast` number, since 6 + 6 + 1 + 8 + 574 + 6 + 36 + 8 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (66185746368769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24127878 + ... + 26730618.

Almost surely, 2^{66185746368768} 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 66185746368768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105761692402240).

66185746368768 is an abundant number, since it is smaller than the sum of its proper divisors (145337638435712).

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

66185746368768 is a wasteful number, since it uses less digits than its factorization.

66185746368768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2603062 (or 2603042 counting only the distinct ones).

The product of its digits is 11705057280, while the sum is 81.

The spelling of 66185746368768 in words is "sixty-six trillion, one hundred eighty-five billion, seven hundred forty-six million, three hundred sixty-eight thousand, seven hundred sixty-eight".