268241984640 has 768 divisors, whose sum is σ = 1112057856000. Its totient is φ = 60516937728.

The previous prime is 268241984443. The next prime is 268241984677. The reversal of 268241984640 is 46489142862.

It is a happy number.

268241984640 is a `hidden beast` number, since 268 + 241 + 9 + 84 + 64 + 0 = 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 95 ways as a sum of consecutive naturals, for example, 86001001 + ... + 86004119.

It is an arithmetic number, because the mean of its divisors is an integer number (1447992000).

Almost surely, 2^268241984640 is an apocalyptic number.

268241984640 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 268241984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556028928000).

268241984640 is an abundant number, since it is smaller than the sum of its proper divisors (843815871360).

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

268241984640 is an equidigital number, since it uses as much as digits as its factorization.

268241984640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3239 (or 3215 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 268241984640 in words is "two hundred sixty-eight billion, two hundred forty-one million, nine hundred eighty-four thousand, six hundred forty".