268834775040 has 1120 divisors, whose sum is σ = 1087021748736. Its totient is φ = 63063982080.

The previous prime is 268834775009. The next prime is 268834775161. The reversal of 268834775040 is 40577438862.

268834775040 is a `hidden beast` number, since 2 + 6 + 8 + 83 + 477 + 50 + 40 = 666.

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 79 ways as a sum of consecutive naturals, for example, 992010105 + ... + 992010375.

Almost surely, 2^268834775040 is an apocalyptic number.

268834775040 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 268834775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543510874368).

268834775040 is an abundant number, since it is smaller than the sum of its proper divisors (818186973696).

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

268834775040 is a wasteful number, since it uses less digits than its factorization.

268834775040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 268834775040 in words is "two hundred sixty-eight billion, eight hundred thirty-four million, seven hundred seventy-five thousand, forty".