6336000801 has 45 divisors (see below), whose sum is σ = 9978194031. Its totient is φ = 3874242528.

The previous prime is 6336000791. The next prime is 6336000817. The reversal of 6336000801 is 1080006336.

The square root of 6336000801 is 79599.

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

It can be written as a sum of positive squares in 7 ways, for example, as 6062958225 + 273042576 = 77865^2 + 16524^2 .

It is not a de Polignac number, because 6336000801 - 2²⁵ = 6302446369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6336080801) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 40356615 + ... + 40356771.

Almost surely, 2^6336000801 is an apocalyptic number.

6336000801 is the 79599-th square number.

6336000801 is the 39800-th centered octagonal number.

It is an amenable number.

6336000801 is a deficient number, since it is larger than the sum of its proper divisors (3642193230).

6336000801 is an frugal number, since it uses more digits than its factorization.

6336000801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The cubic root of 6336000801 is about 1850.4260816503.

The spelling of 6336000801 in words is "six billion, three hundred thirty-six million, eight hundred one", and thus it is an aban number.