264488736960 has 672 divisors, whose sum is σ = 1103233597440. Its totient is φ = 56811331584.

The previous prime is 264488736947. The next prime is 264488736989. The reversal of 264488736960 is 69637884462.

264488736960 is a `hidden beast` number, since 2 + 6 + 448 + 8 + 73 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 48643362 + ... + 48648798.

Almost surely, 2^264488736960 is an apocalyptic number.

264488736960 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 264488736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551616798720).

264488736960 is an abundant number, since it is smaller than the sum of its proper divisors (838744860480).

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

264488736960 is a wasteful number, since it uses less digits than its factorization.

264488736960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5613 (or 5600 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 264488736960 in words is "two hundred sixty-four billion, four hundred eighty-eight million, seven hundred thirty-six thousand, nine hundred sixty".