66044668032 has 480 divisors, whose sum is σ = 231984181440. Its totient is φ = 18593971200.

The previous prime is 66044668013. The next prime is 66044668037. The reversal of 66044668032 is 23086644066.

66044668032 is a `hidden beast` number, since 6 + 604 + 4 + 6 + 6 + 8 + 0 + 32 = 666.

It is not an unprimeable number, because it can be changed into a prime (66044668037) 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 59 ways as a sum of consecutive naturals, for example, 36069357 + ... + 36071187.

It is an arithmetic number, because the mean of its divisors is an integer number (483300378).

Almost surely, 2^66044668032 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 66044668032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115992090720).

66044668032 is an abundant number, since it is smaller than the sum of its proper divisors (165939513408).

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

66044668032 is a wasteful number, since it uses less digits than its factorization.

66044668032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 66044668032 in words is "sixty-six billion, forty-four million, six hundred sixty-eight thousand, thirty-two".