264024024240096 has 72 divisors (see below), whose sum is σ = 778626404842104. Its totient is φ = 88008008077440.

The previous prime is 264024024240073. The next prime is 264024024240187. The reversal of 264024024240096 is 690042420420462.

264024024240096 is a `hidden beast` number, since 2 + 6 + 40 + 240 + 242 + 40 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16976845635 + ... + 16976861186.

It is an arithmetic number, because the mean of its divisors is an integer number (10814255622807).

Almost surely, 2^{264024024240096} is an apocalyptic number.

It is an amenable number.

264024024240096 is an abundant number, since it is smaller than the sum of its proper divisors (514602380602008).

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

264024024240096 is an equidigital number, since it uses as much as digits as its factorization.

264024024240096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33953706846 (or 33953706826 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 264024024240096 in words is "two hundred sixty-four trillion, twenty-four billion, twenty-four million, two hundred forty thousand, ninety-six".