268115702400 has 1536 divisors, whose sum is σ = 1225479897600. Its totient is φ = 56435097600.

The previous prime is 268115702389. The next prime is 268115702417. The reversal of 268115702400 is 4207511862.

268115702400 is a `hidden beast` number, since 2 + 6 + 81 + 1 + 570 + 2 + 4 + 0 + 0 = 666.

268115702400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 191 ways as a sum of consecutive naturals, for example, 636854190 + ... + 636854610.

It is an arithmetic number, because the mean of its divisors is an integer number (797838475).

Almost surely, 2^268115702400 is an apocalyptic number.

268115702400 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 268115702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612739948800).

268115702400 is an abundant number, since it is smaller than the sum of its proper divisors (957364195200).

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

268115702400 is an equidigital number, since it uses as much as digits as its factorization.

268115702400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 268115702400 in words is "two hundred sixty-eight billion, one hundred fifteen million, seven hundred two thousand, four hundred".