66418812 has 48 divisors (see below), whose sum is σ = 173930400. Its totient is φ = 21916800.

The previous prime is 66418777. The next prime is 66418819. The reversal of 66418812 is 21881466.

66418812 is a `hidden beast` number, since 6 + 641 + 8 + 8 + 1 + 2 = 666.

It is a super-2 number, since 2×66418812² = 8822917174982688, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66418819) 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, 7864 + ... + 13952.

It is an arithmetic number, because the mean of its divisors is an integer number (3623550).

Almost surely, 2^66418812 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 66418812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86965200).

66418812 is an abundant number, since it is smaller than the sum of its proper divisors (107511588).

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

66418812 is a wasteful number, since it uses less digits than its factorization.

66418812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6203 (or 6195 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 66418812 is about 8149.7737391906. The cubic root of 66418812 is about 404.9770082970.

The spelling of 66418812 in words is "sixty-six million, four hundred eighteen thousand, eight hundred twelve".