268381310400 has 1008 divisors, whose sum is σ = 1130404038400. Its totient is φ = 60354201600.

The previous prime is 268381310381. The next prime is 268381310497. The reversal of 268381310400 is 4013183862.

268381310400 is a `hidden beast` number, since 268 + 3 + 81 + 310 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-3 number, since 3×268381310400³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 330925995 + ... + 330926805.

Almost surely, 2^268381310400 is an apocalyptic number.

268381310400 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 268381310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565202019200).

268381310400 is an abundant number, since it is smaller than the sum of its proper divisors (862022728000).

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

268381310400 is a wasteful number, since it uses less digits than its factorization.

268381310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 268381310400 in words is "two hundred sixty-eight billion, three hundred eighty-one million, three hundred ten thousand, four hundred".