66663744 has 112 divisors (see below), whose sum is σ = 203411328. Its totient is φ = 18874368.

The previous prime is 66663743. The next prime is 66663757. The reversal of 66663744 is 44736666.

66663744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a junction number, because it is equal to n+sod(n) for n = 66663696 and 66663705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66663743) 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 15 ways as a sum of consecutive naturals, for example, 259264 + ... + 259520.

Almost surely, 2^66663744 is an apocalyptic number.

66663744 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 66663744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101705664).

66663744 is an abundant number, since it is smaller than the sum of its proper divisors (136747584).

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

66663744 is a wasteful number, since it uses less digits than its factorization.

66663744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 462 counting only the distinct ones).

The product of its digits is 435456, while the sum is 42.

The square root of 66663744 is about 8164.7868312651. The cubic root of 66663744 is about 405.4742075353.

The spelling of 66663744 in words is "sixty-six million, six hundred sixty-three thousand, seven hundred forty-four".