268387234560 has 216 divisors, whose sum is σ = 930263718384. Its totient is φ = 71441080320.

The previous prime is 268387234523. The next prime is 268387234597. The reversal of 268387234560 is 65432783862.

268387234560 is a `hidden beast` number, since 2 + 6 + 8 + 3 + 8 + 72 + 3 + 4 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (268387234523) and next prime (268387234597).

It is a junction number, because it is equal to n+sod(n) for n = 268387234497 and 268387234506.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6465070 + ... + 6506450.

It is an arithmetic number, because the mean of its divisors is an integer number (4306776474).

Almost surely, 2^268387234560 is an apocalyptic number.

268387234560 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 268387234560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465131859192).

268387234560 is an abundant number, since it is smaller than the sum of its proper divisors (661876483824).

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

268387234560 is a wasteful number, since it uses less digits than its factorization.

268387234560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41971 (or 41954 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 268387234560 in words is "two hundred sixty-eight billion, three hundred eighty-seven million, two hundred thirty-four thousand, five hundred sixty".