264380418800 has 120 divisors (see below), whose sum is σ = 645186293232. Its totient is φ = 104087808000.

The previous prime is 264380418793. The next prime is 264380418811. The reversal of 264380418800 is 8814083462.

264380418800 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 23 ways as a sum of consecutive naturals, for example, 39687470 + ... + 39694130.

Almost surely, 2^264380418800 is an apocalyptic number.

264380418800 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 264380418800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322593146616).

264380418800 is an abundant number, since it is smaller than the sum of its proper divisors (380805874432).

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

264380418800 is a wasteful number, since it uses less digits than its factorization.

264380418800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8227 (or 8216 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 44.

The spelling of 264380418800 in words is "two hundred sixty-four billion, three hundred eighty million, four hundred eighteen thousand, eight hundred".