264984428800 has 648 divisors, whose sum is σ = 838594659840. Its totient is φ = 81086054400.

The previous prime is 264984428773. The next prime is 264984428843. The reversal of 264984428800 is 8824489462.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 234706636 + ... + 234707764.

Almost surely, 2^264984428800 is an apocalyptic number.

264984428800 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 264984428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419297329920).

264984428800 is an abundant number, since it is smaller than the sum of its proper divisors (573610231040).

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

264984428800 is a wasteful number, since it uses less digits than its factorization.

264984428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 55.

The spelling of 264984428800 in words is "two hundred sixty-four billion, nine hundred eighty-four million, four hundred twenty-eight thousand, eight hundred".