564778404271424 has 224 divisors, whose sum is σ = 1348766919936000. Its totient is φ = 229535949127680.

The previous prime is 564778404271397. The next prime is 564778404271469. The reversal of 564778404271424 is 424172404877465.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

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, 595001552 + ... + 595950000.

Almost surely, 2^{564778404271424} 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 564778404271424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674383459968000).

564778404271424 is an abundant number, since it is smaller than the sum of its proper divisors (783988515664576).

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

564778404271424 is a wasteful number, since it uses less digits than its factorization.

564778404271424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949361 (or 949351 counting only the distinct ones).

The product of its (nonzero) digits is 337182720, while the sum is 65.

The spelling of 564778404271424 in words is "five hundred sixty-four trillion, seven hundred seventy-eight billion, four hundred four million, two hundred seventy-one thousand, four hundred twenty-four".