566980072960 has 320 divisors, whose sum is σ = 1633706578944. Its totient is φ = 184504320000.

The previous prime is 566980072957. The next prime is 566980073039. The reversal of 566980072960 is 69270089665.

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

It is a junction number, because it is equal to n+sod(n) for n = 566980072895 and 566980072904.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 53987710 + ... + 53998210.

Almost surely, 2^566980072960 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 566980072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816853289472).

566980072960 is an abundant number, since it is smaller than the sum of its proper divisors (1066726505984).

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

566980072960 is a wasteful number, since it uses less digits than its factorization.

566980072960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10685 (or 10669 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 58.

The spelling of 566980072960 in words is "five hundred sixty-six billion, nine hundred eighty million, seventy-two thousand, nine hundred sixty".