66044064 has 48 divisors (see below), whose sum is σ = 174763008. Its totient is φ = 21837312.

The previous prime is 66044039. The next prime is 66044089. The reversal of 66044064 is 46044066.

66044064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66044039) and next prime (66044089).

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

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 7 ways as a sum of consecutive naturals, for example, 9484 + ... + 14900.

It is an arithmetic number, because the mean of its divisors is an integer number (3640896).

Almost surely, 2^66044064 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 66044064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87381504).

66044064 is an abundant number, since it is smaller than the sum of its proper divisors (108718944).

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

66044064 is a wasteful number, since it uses less digits than its factorization.

66044064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5557 (or 5549 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 66044064 is about 8126.7499038669. The cubic root of 66044064 is about 404.2139180145.

The spelling of 66044064 in words is "sixty-six million, forty-four thousand, sixty-four", and thus it is an eban number.