66789806720 has 768 divisors, whose sum is σ = 221527353600. Its totient is φ = 18984075264.

The previous prime is 66789806719. The next prime is 66789806843. The reversal of 66789806720 is 2760898766.

66789806720 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 66789806720.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159402671 + ... + 159403089.

It is an arithmetic number, because the mean of its divisors is an integer number (288447075).

Almost surely, 2^66789806720 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 66789806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110763676800).

66789806720 is an abundant number, since it is smaller than the sum of its proper divisors (154737546880).

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

66789806720 is a wasteful number, since it uses less digits than its factorization.

66789806720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 59.

The spelling of 66789806720 in words is "sixty-six billion, seven hundred eighty-nine million, eight hundred six thousand, seven hundred twenty".