268806744864 has 216 divisors, whose sum is σ = 909903954960. Its totient is φ = 75015666432.

The previous prime is 268806744859. The next prime is 268806744881. The reversal of 268806744864 is 468447608862.

268806744864 is a `hidden beast` number, since 2 + 6 + 8 + 80 + 6 + 74 + 486 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 35 ways as a sum of consecutive naturals, for example, 385327 + ... + 828305.

It is an arithmetic number, because the mean of its divisors is an integer number (4212518310).

Almost surely, 2^268806744864 is an apocalyptic number.

268806744864 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 268806744864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454951977480).

268806744864 is an abundant number, since it is smaller than the sum of its proper divisors (641097210096).

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

268806744864 is a wasteful number, since it uses less digits than its factorization.

268806744864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443052 (or 443034 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 268806744864 in words is "two hundred sixty-eight billion, eight hundred six million, seven hundred forty-four thousand, eight hundred sixty-four".