563193734400 has 1728 divisors, whose sum is σ = 2471804294400. Its totient is φ = 123863040000.

The previous prime is 563193734393. The next prime is 563193734473. The reversal of 563193734400 is 4437391365.

563193734400 is a `hidden beast` number, since 5 + 631 + 9 + 3 + 7 + 3 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 937094100 + ... + 937094700.

It is an arithmetic number, because the mean of its divisors is an integer number (1430442300).

Almost surely, 2^563193734400 is an apocalyptic number.

563193734400 is a gapful number since it is divisible by the number (50) 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 563193734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1235902147200).

563193734400 is an abundant number, since it is smaller than the sum of its proper divisors (1908610560000).

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

563193734400 is a wasteful number, since it uses less digits than its factorization.

563193734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 563193734400 in words is "five hundred sixty-three billion, one hundred ninety-three million, seven hundred thirty-four thousand, four hundred".