66412512 has 72 divisors (see below), whose sum is σ = 191056320. Its totient is φ = 21880320.

The previous prime is 66412499. The next prime is 66412517. The reversal of 66412512 is 21521466.

66412512 is a `hidden beast` number, since 6 + 641 + 2 + 5 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66412517) 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 11 ways as a sum of consecutive naturals, for example, 24337 + ... + 26927.

It is an arithmetic number, because the mean of its divisors is an integer number (2653560).

Almost surely, 2^66412512 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 66412512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95528160).

66412512 is an abundant number, since it is smaller than the sum of its proper divisors (124643808).

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

66412512 is a wasteful number, since it uses less digits than its factorization.

66412512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2696 (or 2685 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 66412512 is about 8149.3872162268. The cubic root of 66412512 is about 404.9642035120.

Adding to 66412512 its reverse (21521466), we get a palindrome (87933978).

The spelling of 66412512 in words is "sixty-six million, four hundred twelve thousand, five hundred twelve".