268129372896 has 576 divisors, whose sum is σ = 981284129280. Its totient is φ = 67418542080.

The previous prime is 268129372877. The next prime is 268129372909. The reversal of 268129372896 is 698273921862.

268129372896 is a `hidden beast` number, since 2 + 68 + 1 + 293 + 7 + 289 + 6 = 666.

268129372896 is digitally balanced in base 2 and base 3, because in such bases 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 (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 187896535 + ... + 187897961.

It is an arithmetic number, because the mean of its divisors is an integer number (1703618280).

Almost surely, 2^268129372896 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 268129372896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490642064640).

268129372896 is an abundant number, since it is smaller than the sum of its proper divisors (713154756384).

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

268129372896 is a wasteful number, since it uses less digits than its factorization.

268129372896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1716 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 63.

The spelling of 268129372896 in words is "two hundred sixty-eight billion, one hundred twenty-nine million, three hundred seventy-two thousand, eight hundred ninety-six".