564233400000 has 504 divisors, whose sum is σ = 2140487687520. Its totient is φ = 141603840000.

The previous prime is 564233399957. The next prime is 564233400001. The reversal of 564233400000 is 4332465.

It is not an unprimeable number, because it can be changed into a prime (564233400001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30590781 + ... + 30609219.

It is an arithmetic number, because the mean of its divisors is an integer number (4246999380).

Almost surely, 2^564233400000 is an apocalyptic number.

564233400000 is a gapful number since it is divisible by the number (50) 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 564233400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070243843760).

564233400000 is an abundant number, since it is smaller than the sum of its proper divisors (1576254287520).

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

564233400000 is a wasteful number, since it uses less digits than its factorization.

564233400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18499 (or 18466 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 564233400000 its reverse (4332465), we get a palindrome (564237732465).

The spelling of 564233400000 in words is "five hundred sixty-four billion, two hundred thirty-three million, four hundred thousand".