264451083600 has 960 divisors, whose sum is σ = 1010074779648. Its totient is φ = 58485504000.

The previous prime is 264451083599. The next prime is 264451083613. The reversal of 264451083600 is 6380154462.

264451083600 is digitally balanced in base 3, 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 (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 613575385 + ... + 613575815.

Almost surely, 2^264451083600 is an apocalyptic number.

264451083600 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 264451083600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505037389824).

264451083600 is an abundant number, since it is smaller than the sum of its proper divisors (745623696048).

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

264451083600 is a wasteful number, since it uses less digits than its factorization.

264451083600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 264451083600 in words is "two hundred sixty-four billion, four hundred fifty-one million, eighty-three thousand, six hundred".