66426624 has 108 divisors (see below), whose sum is σ = 209015352. Its totient is φ = 20121600.

The previous prime is 66426623. The next prime is 66426629. The reversal of 66426624 is 42662466.

66426624 is a `hidden beast` number, since 6 + 6 + 4 + 26 + 624 = 666.

66426624 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 (66426623) 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 11 ways as a sum of consecutive naturals, for example, 24034 + ... + 26654.

Almost surely, 2^66426624 is an apocalyptic number.

66426624 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66426624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104507676).

66426624 is an abundant number, since it is smaller than the sum of its proper divisors (142588728).

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

66426624 is a wasteful number, since it uses less digits than its factorization.

66426624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2654 (or 2637 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 66426624 is about 8150.2530022080. The cubic root of 66426624 is about 404.9928851059.

The spelling of 66426624 in words is "sixty-six million, four hundred twenty-six thousand, six hundred twenty-four".