66363624 has 80 divisors (see below), whose sum is σ = 189921600. Its totient is φ = 21640608.

The previous prime is 66363623. The next prime is 66363679. The reversal of 66363624 is 42636366.

66363624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66363623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29367 + ... + 31545.

It is an arithmetic number, because the mean of its divisors is an integer number (2374020).

Almost surely, 2^66363624 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 66363624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94960800).

66363624 is an abundant number, since it is smaller than the sum of its proper divisors (123557976).

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

66363624 is a wasteful number, since it uses less digits than its factorization.

66363624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2244 (or 2231 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 66363624 is about 8146.3871746928. The cubic root of 66363624 is about 404.8648108459.

It can be divided in two parts, 6636362 and 4, that added together give a palindrome (6636366).

The spelling of 66363624 in words is "sixty-six million, three hundred sixty-three thousand, six hundred twenty-four".