268602808320 has 2304 divisors, whose sum is σ = 1271570227200. Its totient is φ = 52553318400.

The previous prime is 268602808259. The next prime is 268602808393. The reversal of 268602808320 is 23808206862.

268602808320 is a `hidden beast` number, since 2 + 6 + 8 + 602 + 8 + 0 + 8 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×268602808320² (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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7259535342 + ... + 7259535378.

It is an arithmetic number, because the mean of its divisors is an integer number (551896800).

Almost surely, 2^268602808320 is an apocalyptic number.

268602808320 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 268602808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635785113600).

268602808320 is an abundant number, since it is smaller than the sum of its proper divisors (1002967418880).

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

268602808320 is a wasteful number, since it uses less digits than its factorization.

268602808320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 268602808320 in words is "two hundred sixty-eight billion, six hundred two million, eight hundred eight thousand, three hundred twenty".