567540103680 has 1280 divisors, whose sum is σ = 2300424192000. Its totient is φ = 132478156800.

The previous prime is 567540103597. The next prime is 567540103703. The reversal of 567540103680 is 86301045765.

567540103680 is a `hidden beast` number, since 5 + 67 + 540 + 10 + 36 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

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 127 ways as a sum of consecutive naturals, for example, 2851960221 + ... + 2851960419.

It is an arithmetic number, because the mean of its divisors is an integer number (1797206400).

Almost surely, 2^567540103680 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 567540103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150212096000).

567540103680 is an abundant number, since it is smaller than the sum of its proper divisors (1732884088320).

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

567540103680 is a wasteful number, since it uses less digits than its factorization.

567540103680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 567540103680 in words is "five hundred sixty-seven billion, five hundred forty million, one hundred three thousand, six hundred eighty".