68128000000 has 168 divisors, whose sum is σ = 170356217850. Its totient is φ = 27238400000.

The previous prime is 68127999959. The next prime is 68128000001. The reversal of 68128000000 is 82186.

68128000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 44916868096 + 23211131904 = 211936^2 + 152352^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68128000001) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 31998936 + ... + 32001064.

Almost surely, 2^68128000000 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 68128000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85178108925).

68128000000 is an abundant number, since it is smaller than the sum of its proper divisors (102228217850).

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

68128000000 is an frugal number, since it uses more digits than its factorization.

68128000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 68128000000 its reverse (82186), we get a palindrome (68128082186).

The spelling of 68128000000 in words is "sixty-eight billion, one hundred twenty-eight million", and thus it is an aban number.