6441005304 has 40 divisors (see below), whose sum is σ = 18040780560. Its totient is φ = 2147001552.

The previous prime is 6441005239. The next prime is 6441005317. The reversal of 6441005304 is 4035001446.

6441005304 is a `hidden beast` number, since 644 + 10 + 0 + 5 + 3 + 0 + 4 = 666.

It is a super-2 number, since 2×6441005304² = 82973098652312264832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4969264 + ... + 4970559.

It is an arithmetic number, because the mean of its divisors is an integer number (451019514).

Almost surely, 2^6441005304 is an apocalyptic number.

It is an amenable number.

6441005304 is an abundant number, since it is smaller than the sum of its proper divisors (11599775256).

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

6441005304 is a wasteful number, since it uses less digits than its factorization.

6441005304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9939841 (or 9939828 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 6441005304 is about 80255.8739532503. The cubic root of 6441005304 is about 1860.5922983612.

The spelling of 6441005304 in words is "six billion, four hundred forty-one million, five thousand, three hundred four".