564314506560 has 1344 divisors, whose sum is σ = 2423299866624. Its totient is φ = 122276044800.

The previous prime is 564314506559. The next prime is 564314506571. The reversal of 564314506560 is 65605413465.

564314506560 is a `hidden beast` number, since 5 + 6 + 4 + 31 + 4 + 50 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×564314506560³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 894317445 + ... + 894318075.

It is an arithmetic number, because the mean of its divisors is an integer number (1803050496).

Almost surely, 2^564314506560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564314506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211649933312).

564314506560 is an abundant number, since it is smaller than the sum of its proper divisors (1858985360064).

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

564314506560 is a wasteful number, since it uses less digits than its factorization.

564314506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 564314506560 in words is "five hundred sixty-four billion, three hundred fourteen million, five hundred six thousand, five hundred sixty".