67488889728 has 256 divisors, whose sum is σ = 198009907200. Its totient is φ = 20237008896.

The previous prime is 67488889723. The next prime is 67488889757. The reversal of 67488889728 is 82798888476.

It is a self number, because there is not a number n which added to its sum of digits gives 67488889728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67488889723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73436853 + ... + 73437771.

It is an arithmetic number, because the mean of its divisors is an integer number (773476200).

Almost surely, 2^67488889728 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 67488889728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99004953600).

67488889728 is an abundant number, since it is smaller than the sum of its proper divisors (130521017472).

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

67488889728 is a wasteful number, since it uses less digits than its factorization.

67488889728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1297 counting only the distinct ones).

The product of its digits is 693633024, while the sum is 75.

The spelling of 67488889728 in words is "sixty-seven billion, four hundred eighty-eight million, eight hundred eighty-nine thousand, seven hundred twenty-eight".