268378387200 has 972 divisors, whose sum is σ = 1205558141424. Its totient is φ = 55756800000.

The previous prime is 268378387159. The next prime is 268378387217. The reversal of 268378387200 is 2783873862.

268378387200 is a `hidden beast` number, since 2 + 68 + 378 + 3 + 8 + 7 + 200 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 48784450 + ... + 48789950.

Almost surely, 2^268378387200 is an apocalyptic number.

268378387200 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 268378387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602779070712).

268378387200 is an abundant number, since it is smaller than the sum of its proper divisors (937179754224).

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

268378387200 is a wasteful number, since it uses less digits than its factorization.

268378387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5562 (or 5529 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 268378387200 in words is "two hundred sixty-eight billion, three hundred seventy-eight million, three hundred eighty-seven thousand, two hundred".