564068822300 has 72 divisors (see below), whose sum is σ = 1241773771392. Its totient is φ = 222359256000.

The previous prime is 564068822279. The next prime is 564068822321. The reversal of 564068822300 is 3228860465.

It is an interprime number because it is at equal distance from previous prime (564068822279) and next prime (564068822321).

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, 19034495 + ... + 19064105.

It is an arithmetic number, because the mean of its divisors is an integer number (17246857936).

Almost surely, 2^564068822300 is an apocalyptic number.

564068822300 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 564068822300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620886885696).

564068822300 is an abundant number, since it is smaller than the sum of its proper divisors (677704949092).

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

564068822300 is a wasteful number, since it uses less digits than its factorization.

564068822300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32379 (or 32372 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

The spelling of 564068822300 in words is "five hundred sixty-four billion, sixty-eight million, eight hundred twenty-two thousand, three hundred".