67129564128 has 192 divisors, whose sum is σ = 199287744768. Its totient is φ = 19606302720.

The previous prime is 67129564109. The next prime is 67129564129. The reversal of 67129564128 is 82146592176.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67129564129) 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, 4172676 + ... + 4188732.

It is an arithmetic number, because the mean of its divisors is an integer number (1037957004).

Almost surely, 2^67129564128 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 67129564128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99643872384).

67129564128 is an abundant number, since it is smaller than the sum of its proper divisors (132158180640).

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

67129564128 is a wasteful number, since it uses less digits than its factorization.

67129564128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16225 (or 16217 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The spelling of 67129564128 in words is "sixty-seven billion, one hundred twenty-nine million, five hundred sixty-four thousand, one hundred twenty-eight".