268684275734784 has 648 divisors, whose sum is σ = 970625491617600. Its totient is φ = 70851310903296.

The previous prime is 268684275734741. The next prime is 268684275734789. The reversal of 268684275734784 is 487437572486862.

268684275734784 is a `hidden beast` number, since 2 + 6 + 8 + 6 + 8 + 4 + 2 + 75 + 73 + 478 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (268684275734789) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19471279117 + ... + 19471292915.

Almost surely, 2^{268684275734784} is an apocalyptic number.

268684275734784 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 268684275734784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485312745808800).

268684275734784 is an abundant number, since it is smaller than the sum of its proper divisors (701941215882816).

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

268684275734784 is a wasteful number, since it uses less digits than its factorization.

268684275734784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27115 (or 27091 counting only the distinct ones).

The product of its digits is 24277155840, while the sum is 81.

The spelling of 268684275734784 in words is "two hundred sixty-eight trillion, six hundred eighty-four billion, two hundred seventy-five million, seven hundred thirty-four thousand, seven hundred eighty-four".