68270512128 has 384 divisors, whose sum is σ = 233796326400. Its totient is φ = 17219321856.

The previous prime is 68270512127. The next prime is 68270512133. The reversal of 68270512128 is 82121507286.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 68270512128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68270512127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12856738 + ... + 12862046.

It is an arithmetic number, because the mean of its divisors is an integer number (608844600).

Almost surely, 2^68270512128 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 68270512128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116898163200).

68270512128 is an abundant number, since it is smaller than the sum of its proper divisors (165525814272).

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

68270512128 is a wasteful number, since it uses less digits than its factorization.

68270512128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5377 (or 5357 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 68270512128 in words is "sixty-eight billion, two hundred seventy million, five hundred twelve thousand, one hundred twenty-eight".