66504564 has 180 divisors, whose sum is σ = 208565280. Its totient is φ = 18416160.

The previous prime is 66504539. The next prime is 66504587. The reversal of 66504564 is 46540566.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 936649 + ... + 936719.

It is an arithmetic number, because the mean of its divisors is an integer number (1158696).

Almost surely, 2^66504564 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 66504564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104282640).

66504564 is an abundant number, since it is smaller than the sum of its proper divisors (142060716).

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

66504564 is a wasteful number, since it uses less digits than its factorization.

66504564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 66504564 is about 8155.0330471433. The cubic root of 66504564 is about 405.1512192508.

The spelling of 66504564 in words is "sixty-six million, five hundred four thousand, five hundred sixty-four".