66747582 has 48 divisors (see below), whose sum is σ = 158466672. Its totient is φ = 20136960.

The previous prime is 66747581. The next prime is 66747599. The reversal of 66747582 is 28574766.

66747582 is a `hidden beast` number, since 6 + 67 + 4 + 7 + 582 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66747581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54238 + ... + 55454.

It is an arithmetic number, because the mean of its divisors is an integer number (3301389).

Almost surely, 2^66747582 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66747582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79233336).

66747582 is an abundant number, since it is smaller than the sum of its proper divisors (91719090).

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

66747582 is a wasteful number, since it uses less digits than its factorization.

66747582 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1510 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 66747582 is about 8169.9193386471. The cubic root of 66747582 is about 405.6441145137.

The spelling of 66747582 in words is "sixty-six million, seven hundred forty-seven thousand, five hundred eighty-two".