268127868384 has 192 divisors, whose sum is σ = 864044858880. Its totient is φ = 80461117440.

The previous prime is 268127868317. The next prime is 268127868391. The reversal of 268127868384 is 483868721862.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59022 + ... + 734669.

It is an arithmetic number, because the mean of its divisors is an integer number (4500233640).

Almost surely, 2^268127868384 is an apocalyptic number.

268127868384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268127868384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432022429440).

268127868384 is an abundant number, since it is smaller than the sum of its proper divisors (595916990496).

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

268127868384 is a wasteful number, since it uses less digits than its factorization.

268127868384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793750 (or 793736 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 63.

The spelling of 268127868384 in words is "two hundred sixty-eight billion, one hundred twenty-seven million, eight hundred sixty-eight thousand, three hundred eighty-four".