563766598762752 has 1152 divisors, whose sum is σ = 1993036179456000. Its totient is φ = 137239009689600.

The previous prime is 563766598762729. The next prime is 563766598762813. The reversal of 563766598762752 is 257267895667365.

It is a super-2 number, since 2×563766598762752² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7086995874 + ... + 7087075422.

It is an arithmetic number, because the mean of its divisors is an integer number (1730066128000).

Almost surely, 2^{563766598762752} 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 563766598762752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996518089728000).

563766598762752 is an abundant number, since it is smaller than the sum of its proper divisors (1429269580693248).

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

563766598762752 is a wasteful number, since it uses less digits than its factorization.

563766598762752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79743 (or 79729 counting only the distinct ones).

The product of its digits is 48009024000, while the sum is 84.

The spelling of 563766598762752 in words is "five hundred sixty-three trillion, seven hundred sixty-six billion, five hundred ninety-eight million, seven hundred sixty-two thousand, seven hundred fifty-two".