268393633200 has 2160 divisors, whose sum is σ = 1263324142080. Its totient is φ = 51519283200.

The previous prime is 268393633153. The next prime is 268393633213. The reversal of 268393633200 is 2336393862.

268393633200 is a `hidden beast` number, since 2 + 6 + 8 + 3 + 9 + 3 + 633 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×268393633200² (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 an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3015658756 + ... + 3015658844.

It is an arithmetic number, because the mean of its divisors is an integer number (584872288).

Almost surely, 2^268393633200 is an apocalyptic number.

268393633200 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 268393633200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631662071040).

268393633200 is an abundant number, since it is smaller than the sum of its proper divisors (994930508880).

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

268393633200 is a wasteful number, since it uses less digits than its factorization.

268393633200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 268393633200 in words is "two hundred sixty-eight billion, three hundred ninety-three million, six hundred thirty-three thousand, two hundred".