564434563992 has 256 divisors, whose sum is σ = 1658511106560. Its totient is φ = 158460862464.

The previous prime is 564434563967. The next prime is 564434563993. The reversal of 564434563992 is 299365434465.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564434563993) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55533103 + ... + 55543265.

It is an arithmetic number, because the mean of its divisors is an integer number (6478559010).

Almost surely, 2^564434563992 is an apocalyptic number.

564434563992 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 564434563992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829255553280).

564434563992 is an abundant number, since it is smaller than the sum of its proper divisors (1094076542568).

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

564434563992 is a wasteful number, since it uses less digits than its factorization.

564434563992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10522 (or 10518 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 60.

The spelling of 564434563992 in words is "five hundred sixty-four billion, four hundred thirty-four million, five hundred sixty-three thousand, nine hundred ninety-two".