268443979200 has 840 divisors, whose sum is σ = 1029584082560. Its totient is φ = 68528332800.

The previous prime is 268443979189. The next prime is 268443979327. The reversal of 268443979200 is 2979344862.

268443979200 is a `hidden beast` number, since 2 + 6 + 8 + 44 + 397 + 9 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 437918094 + ... + 437918706.

Almost surely, 2^268443979200 is an apocalyptic number.

268443979200 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 268443979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514792041280).

268443979200 is an abundant number, since it is smaller than the sum of its proper divisors (761140103360).

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

268443979200 is a wasteful number, since it uses less digits than its factorization.

268443979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 268443979200 in words is "two hundred sixty-eight billion, four hundred forty-three million, nine hundred seventy-nine thousand, two hundred".