268687630794240 has 1280 divisors, whose sum is σ = 1131497579520000. Its totient is φ = 59157624913920.

The previous prime is 268687630794227. The next prime is 268687630794263. The reversal of 268687630794240 is 42497036786862.

It is a happy number.

268687630794240 is a `hidden beast` number, since 2 + 6 + 8 + 6 + 8 + 76 + 307 + 9 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1567072036 + ... + 1567243484.

It is an arithmetic number, because the mean of its divisors is an integer number (883982484000).

Almost surely, 2^{268687630794240} is an apocalyptic number.

268687630794240 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 268687630794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565748789760000).

268687630794240 is an abundant number, since it is smaller than the sum of its proper divisors (862809948725760).

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

268687630794240 is a wasteful number, since it uses less digits than its factorization.

268687630794240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171608 (or 171586 counting only the distinct ones).

The product of its (nonzero) digits is 1170505728, while the sum is 72.

The spelling of 268687630794240 in words is "two hundred sixty-eight trillion, six hundred eighty-seven billion, six hundred thirty million, seven hundred ninety-four thousand, two hundred forty".