17973807264 has 144 divisors (see below), whose sum is σ = 61489471680. Its totient is φ = 4865080320.

The previous prime is 17973807221. The next prime is 17973807289. The reversal of 17973807264 is 46270837971.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 17973807264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196317 + ... + 272924.

It is an arithmetic number, because the mean of its divisors is an integer number (427010220).

Almost surely, 2^17973807264 is an apocalyptic number.

17973807264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

17973807264 is an abundant number, since it is smaller than the sum of its proper divisors (43515664416).

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

17973807264 is a wasteful number, since it uses less digits than its factorization.

17973807264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469283 (or 469272 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 17973807264 in words is "seventeen billion, nine hundred seventy-three million, eight hundred seven thousand, two hundred sixty-four".