268913779200 has 2400 divisors, whose sum is σ = 1226699432640. Its totient is φ = 57330892800.

The previous prime is 268913779133. The next prime is 268913779249. The reversal of 268913779200 is 2977319862.

268913779200 is a `hidden beast` number, since 2 + 68 + 9 + 1 + 377 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3683750364 + ... + 3683750436.

Almost surely, 2^268913779200 is an apocalyptic number.

268913779200 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 268913779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613349716320).

268913779200 is an abundant number, since it is smaller than the sum of its proper divisors (957785653440).

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

268913779200 is a wasteful number, since it uses less digits than its factorization.

268913779200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 268913779200 in words is "two hundred sixty-eight billion, nine hundred thirteen million, seven hundred seventy-nine thousand, two hundred".