268581392640 has 216 divisors, whose sum is σ = 1013742632448. Its totient is φ = 65110609920.

The previous prime is 268581392623. The next prime is 268581392647. The reversal of 268581392640 is 46293185862.

268581392640 is a `hidden beast` number, since 2 + 6 + 8 + 581 + 39 + 26 + 4 + 0 = 666.

It is a super-3 number, since 3×268581392640³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (268581392647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 933024 + ... + 1186463.

It is an arithmetic number, because the mean of its divisors is an integer number (4693252928).

Almost surely, 2^268581392640 is an apocalyptic number.

268581392640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268581392640 is an abundant number, since it is smaller than the sum of its proper divisors (745161239808).

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

268581392640 is a wasteful number, since it uses less digits than its factorization.

268581392640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119525 (or 2119508 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 268581392640 in words is "two hundred sixty-eight billion, five hundred eighty-one million, three hundred ninety-two thousand, six hundred forty".