264932448000 has 576 divisors, whose sum is σ = 991059922944. Its totient is φ = 62146560000.

The previous prime is 264932447929. The next prime is 264932448017. The reversal of 264932448000 is 844239462.

264932448000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32731954 + ... + 32740046.

It is an arithmetic number, because the mean of its divisors is an integer number (1720590144).

Almost surely, 2^264932448000 is an apocalyptic number.

264932448000 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 264932448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495529961472).

264932448000 is an abundant number, since it is smaller than the sum of its proper divisors (726127474944).

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

264932448000 is a wasteful number, since it uses less digits than its factorization.

264932448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8169 (or 8145 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 264932448000 in words is "two hundred sixty-four billion, nine hundred thirty-two million, four hundred forty-eight thousand".