264739394304 has 1296 divisors, whose sum is σ = 1042761807360. Its totient is φ = 65034731520.

The previous prime is 264739394303. The next prime is 264739394341. The reversal of 264739394304 is 403493937462.

It is a happy number.

264739394304 is a `hidden beast` number, since 264 + 73 + 9 + 3 + 9 + 4 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (264739394303) 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 143 ways as a sum of consecutive naturals, for example, 2974599892 + ... + 2974599980.

It is an arithmetic number, because the mean of its divisors is an integer number (804600160).

Almost surely, 2^264739394304 is an apocalyptic number.

264739394304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264739394304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521380903680).

264739394304 is an abundant number, since it is smaller than the sum of its proper divisors (778022413056).

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

264739394304 is an frugal number, since it uses more digits than its factorization.

264739394304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 135 counting only the distinct ones).

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

The spelling of 264739394304 in words is "two hundred sixty-four billion, seven hundred thirty-nine million, three hundred ninety-four thousand, three hundred four".