268635367440 has 120 divisors (see below), whose sum is σ = 984182329728. Its totient is φ = 65123723520.

The previous prime is 268635367433. The next prime is 268635367447. The reversal of 268635367440 is 44763536862.

268635367440 is a `hidden beast` number, since 2 + 6 + 8 + 63 + 536 + 7 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (268635367433) and next prime (268635367447).

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (268635367447) 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, 16951384 + ... + 16967223.

Almost surely, 2^268635367440 is an apocalyptic number.

268635367440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268635367440 is an abundant number, since it is smaller than the sum of its proper divisors (715546962288).

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

268635367440 is a wasteful number, since it uses less digits than its factorization.

268635367440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33918637 (or 33918628 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 268635367440 in words is "two hundred sixty-eight billion, six hundred thirty-five million, three hundred sixty-seven thousand, four hundred forty".