566134208640 has 2304 divisors, whose sum is σ = 2719863619200. Its totient is φ = 107280875520.

The previous prime is 566134208611. The next prime is 566134208663. The reversal of 566134208640 is 46802431665.

566134208640 is a `hidden beast` number, since 5 + 6 + 613 + 4 + 20 + 8 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6820894039 + ... + 6820894121.

Almost surely, 2^566134208640 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 566134208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359931809600).

566134208640 is an abundant number, since it is smaller than the sum of its proper divisors (2153729410560).

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

566134208640 is a wasteful number, since it uses less digits than its factorization.

566134208640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 566134208640 in words is "five hundred sixty-six billion, one hundred thirty-four million, two hundred eight thousand, six hundred forty".