564651360 has 576 divisors, whose sum is σ = 2465648640. Its totient is φ = 114462720.

The previous prime is 564651349. The next prime is 564651371. The reversal of 564651360 is 63156465.

564651360 is a `hidden beast` number, since 5 + 646 + 5 + 1 + 3 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (564651349) and next prime (564651371).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4062171 + ... + 4062309.

It is an arithmetic number, because the mean of its divisors is an integer number (4280640).

Almost surely, 2^564651360 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 564651360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232824320).

564651360 is an abundant number, since it is smaller than the sum of its proper divisors (1900997280).

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

564651360 is a wasteful number, since it uses less digits than its factorization.

564651360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 564651360 is about 23762.3938188054. The cubic root of 564651360 is about 826.5328636487.

The spelling of 564651360 in words is "five hundred sixty-four million, six hundred fifty-one thousand, three hundred sixty".