563205296640 has 320 divisors, whose sum is σ = 2059571036160. Its totient is φ = 128616284160.

The previous prime is 563205296629. The next prime is 563205296683. The reversal of 563205296640 is 46692502365.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 563205296640.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 68754945 + ... + 68763135.

It is an arithmetic number, because the mean of its divisors is an integer number (6436159488).

Almost surely, 2^563205296640 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 563205296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029785518080).

563205296640 is an abundant number, since it is smaller than the sum of its proper divisors (1496365739520).

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

563205296640 is a wasteful number, since it uses less digits than its factorization.

563205296640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9503 (or 9487 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 48.

The spelling of 563205296640 in words is "five hundred sixty-three billion, two hundred five million, two hundred ninety-six thousand, six hundred forty".