66773259311360 has 288 divisors, whose sum is σ = 184643860262400. Its totient is φ = 22662898384896.

The previous prime is 66773259311347. The next prime is 66773259311377. The reversal of 66773259311360 is 6311395237766.

66773259311360 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 66773259311360.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351163832 + ... + 351353928.

It is an arithmetic number, because the mean of its divisors is an integer number (641124514800).

Almost surely, 2^{66773259311360} 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 66773259311360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92321930131200).

66773259311360 is an abundant number, since it is smaller than the sum of its proper divisors (117870600951040).

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

66773259311360 is a wasteful number, since it uses less digits than its factorization.

66773259311360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190521 (or 190507 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 59.

The spelling of 66773259311360 in words is "sixty-six trillion, seven hundred seventy-three billion, two hundred fifty-nine million, three hundred eleven thousand, three hundred sixty".