268315683840 has 1408 divisors, whose sum is σ = 1086632755200. Its totient is φ = 62426972160.

The previous prime is 268315683821. The next prime is 268315683847. The reversal of 268315683840 is 48386513862.

268315683840 is a `hidden beast` number, since 2 + 6 + 8 + 3 + 1 + 568 + 38 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (268315683847) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2112721857 + ... + 2112721983.

Almost surely, 2^268315683840 is an apocalyptic number.

268315683840 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 268315683840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543316377600).

268315683840 is an abundant number, since it is smaller than the sum of its proper divisors (818317071360).

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

268315683840 is a wasteful number, since it uses less digits than its factorization.

268315683840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 268315683840 in words is "two hundred sixty-eight billion, three hundred fifteen million, six hundred eighty-three thousand, eight hundred forty".