566029795968 has 384 divisors, whose sum is σ = 2028872926080. Its totient is φ = 147481731072.

The previous prime is 566029795943. The next prime is 566029795979. The reversal of 566029795968 is 869597920665.

566029795968 is a `hidden beast` number, since 5 + 6 + 6 + 0 + 29 + 7 + 9 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 566029795896 and 566029795905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8668530 + ... + 8733582.

It is an arithmetic number, because the mean of its divisors is an integer number (5283523245).

Almost surely, 2^566029795968 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 566029795968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014436463040).

566029795968 is an abundant number, since it is smaller than the sum of its proper divisors (1462843130112).

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

566029795968 is a wasteful number, since it uses less digits than its factorization.

566029795968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65176 (or 65161 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

The spelling of 566029795968 in words is "five hundred sixty-six billion, twenty-nine million, seven hundred ninety-five thousand, nine hundred sixty-eight".