6541570368 has 280 divisors, whose sum is σ = 20463311880. Its totient is φ = 2063093760.

The previous prime is 6541570367. The next prime is 6541570379. The reversal of 6541570368 is 8630751456.

6541570368 is a `hidden beast` number, since 6 + 5 + 41 + 570 + 36 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 999065664 + 5542504704 = 31608^2 + 74448^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6541570361) 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, 7967398 + ... + 7968218.

Almost surely, 2^6541570368 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 6541570368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10231655940).

6541570368 is an abundant number, since it is smaller than the sum of its proper divisors (13921741512).

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

6541570368 is a wasteful number, since it uses less digits than its factorization.

6541570368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 908 counting only the distinct ones).

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

The square root of 6541570368 is about 80879.9750741801. The cubic root of 6541570368 is about 1870.2256362658.

The spelling of 6541570368 in words is "six billion, five hundred forty-one million, five hundred seventy thousand, three hundred sixty-eight".