264072043680 has 48 divisors (see below), whose sum is σ = 831826939104. Its totient is φ = 70419211520.

The previous prime is 264072043643. The next prime is 264072043681. The reversal of 264072043680 is 86340270462.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (264072043681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275074566 + ... + 275075525.

It is an arithmetic number, because the mean of its divisors is an integer number (17329727898).

Almost surely, 2^264072043680 is an apocalyptic number.

264072043680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264072043680 is an abundant number, since it is smaller than the sum of its proper divisors (567754895424).

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

264072043680 is a wasteful number, since it uses less digits than its factorization.

264072043680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550150109 (or 550150101 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 264072043680 in words is "two hundred sixty-four billion, seventy-two million, forty-three thousand, six hundred eighty".