264080876544 has 297 divisors, whose sum is σ = 784957679779. Its totient is φ = 85510963200.

The previous prime is 264080876531. The next prime is 264080876569. The reversal of 264080876544 is 445678080462.

It is a happy number.

The square root of 264080876544 is 513888.

It is a perfect power (a square), and thus also a powerful number.

264080876544 is a `hidden beast` number, since 26 + 4 + 0 + 8 + 0 + 8 + 76 + 544 = 666.

264080876544 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 139816166400 + 124264710144 = 373920^2 + 352512^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 2614662094 + ... + 2614662194.

Almost surely, 2^264080876544 is an apocalyptic number.

264080876544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

264080876544 is the 513888-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264080876544

264080876544 is an abundant number, since it is smaller than the sum of its proper divisors (520876803235).

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

264080876544 is an equidigital number, since it uses as much as digits as its factorization.

264080876544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

It can be divided in two parts, 264080 and 876544, that added together give a square (1140624 = 1068²).

The spelling of 264080876544 in words is "two hundred sixty-four billion, eighty million, eight hundred seventy-six thousand, five hundred forty-four".