565726256640 has 320 divisors, whose sum is σ = 2011422600000. Its totient is φ = 150716547072.

The previous prime is 565726256609. The next prime is 565726256659. The reversal of 565726256640 is 46652627565.

565726256640 is a `hidden beast` number, since 5 + 6 + 5 + 7 + 2 + 625 + 6 + 6 + 4 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86327604 + ... + 86334156.

It is an arithmetic number, because the mean of its divisors is an integer number (6285695625).

Almost surely, 2^565726256640 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 565726256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005711300000).

565726256640 is an abundant number, since it is smaller than the sum of its proper divisors (1445696343360).

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

565726256640 is a wasteful number, since it uses less digits than its factorization.

565726256640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7834 (or 7812 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 565726256640 in words is "five hundred sixty-five billion, seven hundred twenty-six million, two hundred fifty-six thousand, six hundred forty".