6541346208 has 96 divisors (see below), whose sum is σ = 17924820480. Its totient is φ = 2086318080.

The previous prime is 6541346179. The next prime is 6541346209. The reversal of 6541346208 is 8026431456.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (6541346209) 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 15 ways as a sum of consecutive naturals, for example, 252516 + ... + 277212.

It is an arithmetic number, because the mean of its divisors is an integer number (186716880).

Almost surely, 2^6541346208 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 6541346208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8962410240).

6541346208 is an abundant number, since it is smaller than the sum of its proper divisors (11383474272).

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

6541346208 is a wasteful number, since it uses less digits than its factorization.

6541346208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24830 (or 24822 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 6541346208 is about 80878.5893052049. The cubic root of 6541346208 is about 1870.2042736804.

The spelling of 6541346208 in words is "six billion, five hundred forty-one million, three hundred forty-six thousand, two hundred eight".