66745756 has 48 divisors (see below), whose sum is σ = 148135680. Its totient is φ = 25557120.

The previous prime is 66745753. The next prime is 66745771. The reversal of 66745756 is 65754766.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66745753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16336 + ... + 20008.

It is an arithmetic number, because the mean of its divisors is an integer number (3086160).

Almost surely, 2^66745756 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 66745756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74067840).

66745756 is an abundant number, since it is smaller than the sum of its proper divisors (81389924).

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

66745756 is a wasteful number, since it uses less digits than its factorization.

66745756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3754 (or 3752 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 46.

The square root of 66745756 is about 8169.8075864735. The cubic root of 66745756 is about 405.6404154388.

The spelling of 66745756 in words is "sixty-six million, seven hundred forty-five thousand, seven hundred fifty-six".