66009072744 has 240 divisors, whose sum is σ = 201215640780. Its totient is φ = 20201287680.

The previous prime is 66009072719. The next prime is 66009072749. The reversal of 66009072744 is 44727090066.

66009072744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 40969808100 + 25039264644 = 202410^2 + 158238^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 66009072744.

It is not an unprimeable number, because it can be changed into a prime (66009072749) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7673854 + ... + 7682450.

Almost surely, 2^66009072744 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 66009072744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100607820390).

66009072744 is an abundant number, since it is smaller than the sum of its proper divisors (135206568036).

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

66009072744 is a wasteful number, since it uses less digits than its factorization.

66009072744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8690 (or 8660 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 66009072744 in words is "sixty-six billion, nine million, seventy-two thousand, seven hundred forty-four".