268760093392 has 80 divisors (see below), whose sum is σ = 617493271552. Its totient is φ = 110889492480.

The previous prime is 268760093377. The next prime is 268760093401. The reversal of 268760093392 is 293390067862.

268760093392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 469558 + ... + 870634.

Almost surely, 2^268760093392 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 268760093392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308746635776).

268760093392 is an abundant number, since it is smaller than the sum of its proper divisors (348733178160).

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

268760093392 is a wasteful number, since it uses less digits than its factorization.

268760093392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401316 (or 401310 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 55.

The spelling of 268760093392 in words is "two hundred sixty-eight billion, seven hundred sixty million, ninety-three thousand, three hundred ninety-two".