564414214320 has 480 divisors, whose sum is σ = 2257273025280. Its totient is φ = 129625297920.

The previous prime is 564414214297. The next prime is 564414214349. The reversal of 564414214320 is 23412414465.

564414214320 is a `hidden beast` number, since 5 + 6 + 4 + 414 + 214 + 3 + 20 = 666.

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

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, 3993502 + ... + 4132418.

It is an arithmetic number, because the mean of its divisors is an integer number (4702652136).

Almost surely, 2^564414214320 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 564414214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128636512640).

564414214320 is an abundant number, since it is smaller than the sum of its proper divisors (1692858810960).

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

564414214320 is a wasteful number, since it uses less digits than its factorization.

564414214320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138975 (or 138957 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 564414214320 its reverse (23412414465), we get a palindrome (587826628785).

The spelling of 564414214320 in words is "five hundred sixty-four billion, four hundred fourteen million, two hundred fourteen thousand, three hundred twenty".