264848788800 has 336 divisors, whose sum is σ = 978709223680. Its totient is φ = 69658030080.

The previous prime is 264848788759. The next prime is 264848788817. The reversal of 264848788800 is 8887848462.

264848788800 is a `hidden beast` number, since 2 + 6 + 484 + 8 + 78 + 8 + 80 + 0 = 666.

264848788800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×264848788800³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3111609 + ... + 3195591.

Almost surely, 2^264848788800 is an apocalyptic number.

264848788800 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 264848788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489354611840).

264848788800 is an abundant number, since it is smaller than the sum of its proper divisors (713860434880).

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

264848788800 is a wasteful number, since it uses less digits than its factorization.

264848788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84087 (or 84066 counting only the distinct ones).

The product of its (nonzero) digits is 44040192, while the sum is 63.

The spelling of 264848788800 in words is "two hundred sixty-four billion, eight hundred forty-eight million, seven hundred eighty-eight thousand, eight hundred".