6404585616 has 480 divisors, whose sum is σ = 22185246720. Its totient is φ = 1698278400.

The previous prime is 6404585611. The next prime is 6404585651. The reversal of 6404585616 is 6165854046.

6404585616 is a `hidden beast` number, since 6 + 4 + 0 + 4 + 585 + 61 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (6404585611) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50429745 + ... + 50429871.

It is an arithmetic number, because the mean of its divisors is an integer number (46219264).

Almost surely, 2^6404585616 is an apocalyptic number.

6404585616 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6404585616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11092623360).

6404585616 is an abundant number, since it is smaller than the sum of its proper divisors (15780661104).

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

6404585616 is a wasteful number, since it uses less digits than its factorization.

6404585616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 6404585616 is about 80028.6549680800. The cubic root of 6404585616 is about 1857.0788555819.

The spelling of 6404585616 in words is "six billion, four hundred four million, five hundred eighty-five thousand, six hundred sixteen".