264672753 has 16 divisors (see below), whose sum is σ = 377225856. Its totient is φ = 164658560.

The previous prime is 264672731. The next prime is 264672769. The reversal of 264672753 is 357276462.

It is a cyclic number.

It is not a de Polignac number, because 264672753 - 2⁵ = 264672721 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (264672773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43950 + ... + 49607.

It is an arithmetic number, because the mean of its divisors is an integer number (23576616).

Almost surely, 2^264672753 is an apocalyptic number.

264672753 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

264672753 is a deficient number, since it is larger than the sum of its proper divisors (112553103).

264672753 is a wasteful number, since it uses less digits than its factorization.

264672753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93624.

The product of its digits is 423360, while the sum is 42.

The square root of 264672753 is about 16268.7661794003. The cubic root of 264672753 is about 642.0513225535.

The spelling of 264672753 in words is "two hundred sixty-four million, six hundred seventy-two thousand, seven hundred fifty-three".