268740987264 has 96 divisors (see below), whose sum is σ = 773687903040. Its totient is φ = 89538892800.

The previous prime is 268740987257. The next prime is 268740987269. The reversal of 268740987264 is 462789047862.

268740987264 is a `hidden beast` number, since 26 + 87 + 409 + 8 + 72 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268740987269) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2489614 + ... + 2595314.

It is an arithmetic number, because the mean of its divisors is an integer number (8059248990).

Almost surely, 2^268740987264 is an apocalyptic number.

268740987264 is a gapful number since it is divisible by the number (24) 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 268740987264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386843951520).

268740987264 is an abundant number, since it is smaller than the sum of its proper divisors (504946915776).

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

268740987264 is a wasteful number, since it uses less digits than its factorization.

268740987264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107928 (or 107913 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 268740987264 in words is "two hundred sixty-eight billion, seven hundred forty million, nine hundred eighty-seven thousand, two hundred sixty-four".