564422320000 has 640 divisors, whose sum is σ = 1782644371200. Its totient is φ = 172830720000.

The previous prime is 564422319973. The next prime is 564422320027. The reversal of 564422320000 is 23224465.

It is an interprime number because it is at equal distance from previous prime (564422319973) and next prime (564422320027).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×564422320000³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 363439224 + ... + 363440776.

It is an arithmetic number, because the mean of its divisors is an integer number (2785381830).

Almost surely, 2^564422320000 is an apocalyptic number.

564422320000 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 564422320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891322185600).

564422320000 is an abundant number, since it is smaller than the sum of its proper divisors (1218222051200).

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

564422320000 is a wasteful number, since it uses less digits than its factorization.

564422320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 564422320000 its reverse (23224465), we get a palindrome (564445544465).

The spelling of 564422320000 in words is "five hundred sixty-four billion, four hundred twenty-two million, three hundred twenty thousand".