268668596484288 has 3024 divisors, whose sum is σ = 1098888634535328. Its totient is φ = 61685651865600.

The previous prime is 268668596484271. The next prime is 268668596484307. The reversal of 268668596484288 is 882484695866862.

268668596484288 is a `hidden beast` number, since 2 + 6 + 8 + 6 + 6 + 8 + 596 + 4 + 8 + 4 + 2 + 8 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 268668596484198 and 268668596484207.

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 431 ways as a sum of consecutive naturals, for example, 438284822670 + ... + 438284823282.

It is an arithmetic number, because the mean of its divisors is an integer number (363389098722).

Almost surely, 2^{268668596484288} is an apocalyptic number.

268668596484288 is a gapful number since it is divisible by the number (28) 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 268668596484288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549444317267664).

268668596484288 is an abundant number, since it is smaller than the sum of its proper divisors (830220038051040).

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

268668596484288 is a wasteful number, since it uses less digits than its factorization.

268668596484288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 793 counting only the distinct ones).

The product of its digits is 122305904640, while the sum is 90.

The spelling of 268668596484288 in words is "two hundred sixty-eight trillion, six hundred sixty-eight billion, five hundred ninety-six million, four hundred eighty-four thousand, two hundred eighty-eight".