66527568 has 120 divisors (see below), whose sum is σ = 196612416. Its totient is φ = 21772800.

The previous prime is 66527567. The next prime is 66527599. The reversal of 66527568 is 86572566.

66527568 is a `hidden beast` number, since 6 + 65 + 27 + 568 = 666.

66527568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×66527568³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66527567) 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 23 ways as a sum of consecutive naturals, for example, 275928 + ... + 276168.

Almost surely, 2^66527568 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 66527568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98306208).

66527568 is an abundant number, since it is smaller than the sum of its proper divisors (130084848).

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

66527568 is a wasteful number, since it uses less digits than its factorization.

66527568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 317 counting only the distinct ones).

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

The square root of 66527568 is about 8156.4433425360. The cubic root of 66527568 is about 405.1979279460.

The spelling of 66527568 in words is "sixty-six million, five hundred twenty-seven thousand, five hundred sixty-eight".