563435937792 has 1680 divisors, whose sum is σ = 2227328877312. Its totient is φ = 140460687360.

The previous prime is 563435937773. The next prime is 563435937793. The reversal of 563435937792 is 297739534365.

563435937792 is a `hidden beast` number, since 5 + 6 + 34 + 3 + 593 + 7 + 7 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (563435937793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13103161323 + ... + 13103161365.

Almost surely, 2^563435937792 is an apocalyptic number.

563435937792 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 563435937792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113664438656).

563435937792 is an abundant number, since it is smaller than the sum of its proper divisors (1663892939520).

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

563435937792 is a wasteful number, since it uses less digits than its factorization.

563435937792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 99 counting only the distinct ones).

The product of its digits is 128595600, while the sum is 63.

The spelling of 563435937792 in words is "five hundred sixty-three billion, four hundred thirty-five million, nine hundred thirty-seven thousand, seven hundred ninety-two".