564500332000 has 144 divisors (see below), whose sum is σ = 1524530092176. Its totient is φ = 205272672000.

The previous prime is 564500331979. The next prime is 564500332007. The reversal of 564500332000 is 233005465.

It is a super-2 number, since 2×564500332000² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 564500332000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564500332007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99162 + ... + 1067161.

It is an arithmetic number, because the mean of its divisors is an integer number (10587014529).

Almost surely, 2^564500332000 is an apocalyptic number.

564500332000 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 564500332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762265046088).

564500332000 is an abundant number, since it is smaller than the sum of its proper divisors (960029760176).

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

564500332000 is a wasteful number, since it uses less digits than its factorization.

564500332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166370 (or 1166341 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

Adding to 564500332000 its reverse (233005465), we get a palindrome (564733337465).

The spelling of 564500332000 in words is "five hundred sixty-four billion, five hundred million, three hundred thirty-two thousand".