566753034240 has 680 divisors, whose sum is σ = 2059970555808. Its totient is φ = 149060321280.

The previous prime is 566753034179. The next prime is 566753034241. The reversal of 566753034240 is 42430357665.

566753034240 is a `hidden beast` number, since 5 + 6 + 67 + 530 + 34 + 24 + 0 = 666.

It is a super-2 number, since 2×566753034240² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (566753034241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3477012399 + ... + 3477012561.

Almost surely, 2^566753034240 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 566753034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029985277904).

566753034240 is an abundant number, since it is smaller than the sum of its proper divisors (1493217521568).

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

566753034240 is an equidigital number, since it uses as much as digits as its factorization.

566753034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 566753034240 in words is "five hundred sixty-six billion, seven hundred fifty-three million, thirty-four thousand, two hundred forty".