66724005744 has 720 divisors, whose sum is σ = 233473945600. Its totient is φ = 18178110720.

The previous prime is 66724005713. The next prime is 66724005749. The reversal of 66724005744 is 44750042766.

66724005744 is a `hidden beast` number, since 6 + 6 + 72 + 4 + 0 + 0 + 574 + 4 = 666.

66724005744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 66724005744.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66724005749) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 525385809 + ... + 525385935.

Almost surely, 2^66724005744 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 66724005744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116736972800).

66724005744 is an abundant number, since it is smaller than the sum of its proper divisors (166749939856).

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

66724005744 is a wasteful number, since it uses less digits than its factorization.

66724005744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 66724005744 in words is "sixty-six billion, seven hundred twenty-four million, five thousand, seven hundred forty-four".