567340368400 has 135 divisors (see below), whose sum is σ = 1476459047541. Its totient is φ = 209407211520.

The previous prime is 567340368389. The next prime is 567340368403. The reversal of 567340368400 is 4863043765.

The square root of 567340368400 is 753220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 547262611984 + 20077756416 = 739772^2 + 141696^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (567340368403) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 195835752 + ... + 195838648.

Almost surely, 2^567340368400 is an apocalyptic number.

567340368400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

567340368400 is the 753220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 567340368400

567340368400 is an abundant number, since it is smaller than the sum of its proper divisors (909118679141).

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

567340368400 is an equidigital number, since it uses as much as digits as its factorization.

567340368400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5838 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 46.

The spelling of 567340368400 in words is "five hundred sixty-seven billion, three hundred forty million, three hundred sixty-eight thousand, four hundred".