562713789845760 has 2304 divisors, whose sum is σ = 2283439034204160. Its totient is φ = 115217895260160.

The previous prime is 562713789845657. The next prime is 562713789845803. The reversal of 562713789845760 is 67548987317265.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 134717208792 + ... + 134717212968.

It is a 1-persistent number, because it is pandigital, but 2⋅562713789845760 = 1125427579691520 is not.

Almost surely, 2^{562713789845760} 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 562713789845760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141719517102080).

562713789845760 is an abundant number, since it is smaller than the sum of its proper divisors (1720725244358400).

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

562713789845760 is a wasteful number, since it uses less digits than its factorization.

562713789845760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4452 (or 4438 counting only the distinct ones).

The product of its (nonzero) digits is 4267468800, while the sum is 78.

The spelling of 562713789845760 in words is "five hundred sixty-two trillion, seven hundred thirteen billion, seven hundred eighty-nine million, eight hundred forty-five thousand, seven hundred sixty".