268243772940 has 432 divisors, whose sum is σ = 970814478816. Its totient is φ = 59424768000.

The previous prime is 268243772933. The next prime is 268243772971. The reversal of 268243772940 is 49277342862.

268243772940 is a `hidden beast` number, since 26 + 82 + 437 + 72 + 9 + 40 = 666.

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, 33792652 + ... + 33800588.

It is an arithmetic number, because the mean of its divisors is an integer number (2247255738).

Almost surely, 2^268243772940 is an apocalyptic number.

268243772940 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 268243772940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485407239408).

268243772940 is an abundant number, since it is smaller than the sum of its proper divisors (702570705876).

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

268243772940 is a wasteful number, since it uses less digits than its factorization.

268243772940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8090 (or 8072 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 268243772940 in words is "two hundred sixty-eight billion, two hundred forty-three million, seven hundred seventy-two thousand, nine hundred forty".