6468824041 has 3 divisors (see below), whose sum is σ = 6468904471. Its totient is φ = 6468743612.

The previous prime is 6468824029. The next prime is 6468824053. The reversal of 6468824041 is 1404288646.

The square root of 6468824041 is 80429.

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

6468824041 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 1404288646 = 2 ⋅702144323.

It is an interprime number because it is at equal distance from previous prime (6468824029) and next prime (6468824053).

It can be written as a sum of positive squares in only one way, i.e., 512071641 + 5956752400 = 22629^2 + 77180^2 .

It is not a de Polignac number, because 6468824041 - 2⁵ = 6468824009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6468824081) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 40215 + ... + 120643.

Almost surely, 2^6468824041 is an apocalyptic number.

6468824041 is the 80429-th square number.

6468824041 is the 40215-th centered octagonal number.

It is an amenable number.

6468824041 is a deficient number, since it is larger than the sum of its proper divisors (80430).

6468824041 is an frugal number, since it uses more digits than its factorization.

6468824041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160858 (or 80429 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 43.

The cubic root of 6468824041 is about 1863.2670873310.

The spelling of 6468824041 in words is "six billion, four hundred sixty-eight million, eight hundred twenty-four thousand, forty-one".