268755814640 has 80 divisors (see below), whose sum is σ = 630593389440. Its totient is φ = 106519983360.

The previous prime is 268755814627. The next prime is 268755814661. The reversal of 268755814640 is 46418557862.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3796691 + ... + 3866829.

It is an arithmetic number, because the mean of its divisors is an integer number (7882417368).

Almost surely, 2^268755814640 is an apocalyptic number.

268755814640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268755814640 is an abundant number, since it is smaller than the sum of its proper divisors (361837574800).

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

268755814640 is a wasteful number, since it uses less digits than its factorization.

268755814640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70590 (or 70584 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 56.

The spelling of 268755814640 in words is "two hundred sixty-eight billion, seven hundred fifty-five million, eight hundred fourteen thousand, six hundred forty".