564209643140 has 96 divisors (see below), whose sum is σ = 1395197951616. Its totient is φ = 188947261440.

The previous prime is 564209643121. The next prime is 564209643149. The reversal of 564209643140 is 41346902465.

It is a super-2 number, since 2×564209643140² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 564209643091 and 564209643100.

It is not an unprimeable number, because it can be changed into a prime (564209643149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1010579 + ... + 1466181.

It is an arithmetic number, because the mean of its divisors is an integer number (14533311996).

Almost surely, 2^564209643140 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 564209643140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697598975808).

564209643140 is an abundant number, since it is smaller than the sum of its proper divisors (830988308476).

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

564209643140 is a wasteful number, since it uses less digits than its factorization.

564209643140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456069 (or 456067 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 44.

The spelling of 564209643140 in words is "five hundred sixty-four billion, two hundred nine million, six hundred forty-three thousand, one hundred forty".