264806530560 has 1280 divisors, whose sum is σ = 1123248107520. Its totient is φ = 58286407680.

The previous prime is 264806530531. The next prime is 264806530589. The reversal of 264806530560 is 65035608462.

264806530560 is a `hidden beast` number, since 2 + 6 + 4 + 80 + 6 + 5 + 3 + 0 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (264806530531) and next prime (264806530589).

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 721543497 + ... + 721543863.

It is an arithmetic number, because the mean of its divisors is an integer number (877537584).

Almost surely, 2^264806530560 is an apocalyptic number.

264806530560 is a gapful number since it is divisible by the number (20) 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 264806530560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561624053760).

264806530560 is an abundant number, since it is smaller than the sum of its proper divisors (858441576960).

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

264806530560 is a wasteful number, since it uses less digits than its factorization.

264806530560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 264806530560 in words is "two hundred sixty-four billion, eight hundred six million, five hundred thirty thousand, five hundred sixty".