66725568 has 336 divisors, whose sum is σ = 251480320. Its totient is φ = 16422912.

The previous prime is 66725567. The next prime is 66725579. The reversal of 66725568 is 86552766.

66725568 is a `hidden beast` number, since 6 + 67 + 25 + 568 = 666.

66725568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66725567) 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 47 ways as a sum of consecutive naturals, for example, 995871 + ... + 995937.

Almost surely, 2^66725568 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 66725568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125740160).

66725568 is an abundant number, since it is smaller than the sum of its proper divisors (184754752).

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

66725568 is a wasteful number, since it uses less digits than its factorization.

66725568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 111 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 66725568 is about 8168.5719682206. The cubic root of 66725568 is about 405.5995144889.

The spelling of 66725568 in words is "sixty-six million, seven hundred twenty-five thousand, five hundred sixty-eight".