68082742728 has 768 divisors, whose sum is σ = 261534873600. Its totient is φ = 16019804160.

The previous prime is 68082742639. The next prime is 68082742729. The reversal of 68082742728 is 82724728086.

68082742728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (68082742729) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 114810400 + ... + 114810992.

It is an arithmetic number, because the mean of its divisors is an integer number (340540200).

Almost surely, 2^68082742728 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 68082742728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130767436800).

68082742728 is an abundant number, since it is smaller than the sum of its proper divisors (193452130872).

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

68082742728 is a wasteful number, since it uses less digits than its factorization.

68082742728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 68082742728 in words is "sixty-eight billion, eighty-two million, seven hundred forty-two thousand, seven hundred twenty-eight".