268243234560 has 432 divisors, whose sum is σ = 1064392265664. Its totient is φ = 61098098688.

The previous prime is 268243234541. The next prime is 268243234579. The reversal of 268243234560 is 65432342862.

268243234560 is a `hidden beast` number, since 2 + 6 + 8 + 24 + 32 + 34 + 560 = 666.

268243234560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (268243234541) and next prime (268243234579).

It is a super-2 number, since 2×268243234560² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 23621844 + ... + 23633196.

Almost surely, 2^268243234560 is an apocalyptic number.

268243234560 is a gapful number since it is divisible by the number (20) 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 268243234560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532196132832).

268243234560 is an abundant number, since it is smaller than the sum of its proper divisors (796149031104).

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

268243234560 is a wasteful number, since it uses less digits than its factorization.

268243234560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11680 (or 11663 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 268243234560 in words is "two hundred sixty-eight billion, two hundred forty-three million, two hundred thirty-four thousand, five hundred sixty".