564738449280 has 128 divisors (see below), whose sum is σ = 1800481992480. Its totient is φ = 150565281792.

The previous prime is 564738449273. The next prime is 564738449281. The reversal of 564738449280 is 82944837465.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564738449281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9949942 + ... + 10006538.

Almost surely, 2^564738449280 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 564738449280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900240996240).

564738449280 is an abundant number, since it is smaller than the sum of its proper divisors (1235743543200).

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

564738449280 is a wasteful number, since it uses less digits than its factorization.

564738449280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61816 (or 61804 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 60.

The spelling of 564738449280 in words is "five hundred sixty-four billion, seven hundred thirty-eight million, four hundred forty-nine thousand, two hundred eighty".