264768000 has 320 divisors, whose sum is σ = 1011149568. Its totient is φ = 60211200.

The previous prime is 264767963. The next prime is 264768001. The reversal of 264768000 is 867462.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (264768001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1343902 + ... + 1344098.

Almost surely, 2^264768000 is an apocalyptic number.

264768000 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 264768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505574784).

264768000 is an abundant number, since it is smaller than the sum of its proper divisors (746381568).

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

264768000 is an equidigital number, since it uses as much as digits as its factorization.

264768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 264768000 is about 16271.6932124472. The cubic root of 264768000 is about 642.1283310194.

The spelling of 264768000 in words is "two hundred sixty-four million, seven hundred sixty-eight thousand".