66444408 has 64 divisors (see below), whose sum is σ = 190540800. Its totient is φ = 21431520.

The previous prime is 66444407. The next prime is 66444409. The reversal of 66444408 is 80444466.

66444408 is a `hidden beast` number, since 6 + 644 + 4 + 4 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (66444407) and next prime (66444409).

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 (66444403) 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, 1735 + ... + 11657.

It is an arithmetic number, because the mean of its divisors is an integer number (2977200).

Almost surely, 2^66444408 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 66444408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95270400).

66444408 is an abundant number, since it is smaller than the sum of its proper divisors (124096392).

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

66444408 is a wasteful number, since it uses less digits than its factorization.

66444408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9969 (or 9959 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 66444408 is about 8151.3439382718. The cubic root of 66444408 is about 405.0290239831.

The spelling of 66444408 in words is "sixty-six million, four hundred forty-four thousand, four hundred eight".