264136379364 has 243 divisors, whose sum is σ = 796018945449. Its totient is φ = 73760955840.

The previous prime is 264136379327. The next prime is 264136379393. The reversal of 264136379364 is 463973631462.

It is a happy number.

The square root of 264136379364 is 513942.

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

264136379364 is a `hidden beast` number, since 26 + 413 + 63 + 7 + 93 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39073428900 + 225062950464 = 197670^2 + 474408^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 264136379364.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 440961937 + ... + 440962535.

Almost surely, 2^264136379364 is an apocalyptic number.

264136379364 is the 513942-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264136379364

264136379364 is an abundant number, since it is smaller than the sum of its proper divisors (531882566085).

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

264136379364 is a wasteful number, since it uses less digits than its factorization.

264136379364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 628 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 54.

The spelling of 264136379364 in words is "two hundred sixty-four billion, one hundred thirty-six million, three hundred seventy-nine thousand, three hundred sixty-four".