268448637240 has 1024 divisors, whose sum is σ = 1114767360000. Its totient is φ = 56113440768.

The previous prime is 268448637227. The next prime is 268448637257. The reversal of 268448637240 is 42736844862.

268448637240 is a `hidden beast` number, since 268 + 4 + 4 + 8 + 6 + 372 + 4 + 0 = 666.

It is a super-2 number, since 2×268448637240² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 700910089 + ... + 700910471.

It is an arithmetic number, because the mean of its divisors is an integer number (1088640000).

Almost surely, 2^268448637240 is an apocalyptic number.

268448637240 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 268448637240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557383680000).

268448637240 is an abundant number, since it is smaller than the sum of its proper divisors (846318722760).

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

268448637240 is a wasteful number, since it uses less digits than its factorization.

268448637240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 268448637240 in words is "two hundred sixty-eight billion, four hundred forty-eight million, six hundred thirty-seven thousand, two hundred forty".