6541459008 has 224 divisors, whose sum is σ = 20611795200. Its totient is φ = 1791369216.

The previous prime is 6541458991. The next prime is 6541459009. The reversal of 6541459008 is 8009541456.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (6541459009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6118698 + ... + 6119766.

Almost surely, 2^6541459008 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 6541459008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10305897600).

6541459008 is an abundant number, since it is smaller than the sum of its proper divisors (14070336192).

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

6541459008 is a wasteful number, since it uses less digits than its factorization.

6541459008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 6541459008 is about 80879.2866437384. The cubic root of 6541459008 is about 1870.2150236505.

The spelling of 6541459008 in words is "six billion, five hundred forty-one million, four hundred fifty-nine thousand, eight".