66729284839392 has 384 divisors, whose sum is σ = 219631073356800. Its totient is φ = 17296934731776.

The previous prime is 66729284839391. The next prime is 66729284839403. The reversal of 66729284839392 is 29393848292766.

It is a super-2 number, since 2×66729284839392² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66729284839391) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202920159 + ... + 203248737.

It is an arithmetic number, because the mean of its divisors is an integer number (571955920200).

Almost surely, 2^{66729284839392} 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 66729284839392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109815536678400).

66729284839392 is an abundant number, since it is smaller than the sum of its proper divisors (152901788517408).

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

66729284839392 is a wasteful number, since it uses less digits than its factorization.

66729284839392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329258 (or 329250 counting only the distinct ones).

The product of its digits is 3386105856, while the sum is 78.

The spelling of 66729284839392 in words is "sixty-six trillion, seven hundred twenty-nine billion, two hundred eighty-four million, eight hundred thirty-nine thousand, three hundred ninety-two".