268413704758368 has 384 divisors, whose sum is σ = 844584663605760. Its totient is φ = 82442936125440.

The previous prime is 268413704758291. The next prime is 268413704758369. The reversal of 268413704758368 is 863857407314862.

268413704758368 is a `hidden beast` number, since 2 + 6 + 8 + 4 + 1 + 3 + 70 + 475 + 83 + 6 + 8 = 666.

268413704758368 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×268413704758368² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 268413704758296 and 268413704758305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268413704758369) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27358440183 + ... + 27358449993.

It is an arithmetic number, because the mean of its divisors is an integer number (2199439228140).

Almost surely, 2^{268413704758368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268413704758368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422292331802880).

268413704758368 is an abundant number, since it is smaller than the sum of its proper divisors (576170958847392).

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

268413704758368 is a wasteful number, since it uses less digits than its factorization.

268413704758368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13899 (or 13885 counting only the distinct ones).

The product of its (nonzero) digits is 1300561920, while the sum is 72.

The spelling of 268413704758368 in words is "two hundred sixty-eight trillion, four hundred thirteen billion, seven hundred four million, seven hundred fifty-eight thousand, three hundred sixty-eight".