268552340508672 has 624 divisors, whose sum is σ = 853742734940160. Its totient is φ = 80659611648000.

The previous prime is 268552340508671. The next prime is 268552340508689. The reversal of 268552340508672 is 276805043255862.

268552340508672 is a `hidden beast` number, since 2 + 6 + 8 + 5 + 5 + 23 + 40 + 508 + 67 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (268552340508671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72562100422 + ... + 72562104122.

It is an arithmetic number, because the mean of its divisors is an integer number (1368177459840).

Almost surely, 2^{268552340508672} is an apocalyptic number.

268552340508672 is a gapful number since it is divisible by the number (22) 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 268552340508672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426871367470080).

268552340508672 is an abundant number, since it is smaller than the sum of its proper divisors (585190394431488).

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

268552340508672 is a wasteful number, since it uses less digits than its factorization.

268552340508672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5278 (or 5253 counting only the distinct ones).

The product of its (nonzero) digits is 193536000, while the sum is 63.

The spelling of 268552340508672 in words is "two hundred sixty-eight trillion, five hundred fifty-two billion, three hundred forty million, five hundred eight thousand, six hundred seventy-two".