563642424576 has 972 divisors, whose sum is σ = 2146569489792. Its totient is φ = 141678028800.

The previous prime is 563642424571. The next prime is 563642424589. The reversal of 563642424576 is 675424246365.

563642424576 is a `hidden beast` number, since 5 + 6 + 3 + 6 + 42 + 4 + 24 + 576 = 666.

Its product of digits (29030400) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563642424571) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 18182013681 + ... + 18182013711.

Almost surely, 2^563642424576 is an apocalyptic number.

563642424576 is a gapful number since it is divisible by the number (56) 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 563642424576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073284744896).

563642424576 is an abundant number, since it is smaller than the sum of its proper divisors (1582927065216).

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

563642424576 is an frugal number, since it uses more digits than its factorization.

563642424576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 54 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 54.

The spelling of 563642424576 in words is "five hundred sixty-three billion, six hundred forty-two million, four hundred twenty-four thousand, five hundred seventy-six".