66772729816848 has 240 divisors, whose sum is σ = 205592468507712. Its totient is φ = 20229384806400.

The previous prime is 66772729816817. The next prime is 66772729816867. The reversal of 66772729816848 is 84861892727766.

66772729816848 is a `hidden beast` number, since 6 + 67 + 7 + 272 + 98 + 168 + 48 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 858807511 + ... + 858885257.

Almost surely, 2^{66772729816848} 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 66772729816848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102796234253856).

66772729816848 is an abundant number, since it is smaller than the sum of its proper divisors (138819738690864).

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

66772729816848 is a wasteful number, since it uses less digits than its factorization.

66772729816848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82275 (or 82244 counting only the distinct ones).

The product of its digits is 5462360064, while the sum is 81.

The spelling of 66772729816848 in words is "sixty-six trillion, seven hundred seventy-two billion, seven hundred twenty-nine million, eight hundred sixteen thousand, eight hundred forty-eight".