6441684795 has 144 divisors (see below), whose sum is σ = 14811582240. Its totient is φ = 2558158848.

The previous prime is 6441684791. The next prime is 6441684803. The reversal of 6441684795 is 5974861446.

6441684795 is a `hidden beast` number, since 6 + 4 + 4 + 168 + 479 + 5 = 666.

It is not a de Polignac number, because 6441684795 - 2² = 6441684791 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6441684791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 480696 + ... + 493914.

It is an arithmetic number, because the mean of its divisors is an integer number (102858210).

Almost surely, 2^6441684795 is an apocalyptic number.

6441684795 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

6441684795 is an abundant number, since it is smaller than the sum of its proper divisors (8369897445).

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

6441684795 is a wasteful number, since it uses less digits than its factorization.

6441684795 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13274 (or 13264 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 6441684795 is about 80260.1071205365. The cubic root of 6441684795 is about 1860.6577235139.

The spelling of 6441684795 in words is "six billion, four hundred forty-one million, six hundred eighty-four thousand, seven hundred ninety-five".