6304416408 has 64 divisors (see below), whose sum is σ = 18542412000. Its totient is φ = 1977854976.

The previous prime is 6304416383. The next prime is 6304416431. The reversal of 6304416408 is 8046144036.

6304416408 is a `hidden beast` number, since 6 + 3 + 0 + 4 + 4 + 1 + 640 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 854773 + ... + 862116.

Almost surely, 2^6304416408 is an apocalyptic number.

6304416408 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

6304416408 is an abundant number, since it is smaller than the sum of its proper divisors (12237995592).

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

6304416408 is a wasteful number, since it uses less digits than its factorization.

6304416408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716921 (or 1716911 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 6304416408 is about 79400.3552133112. The cubic root of 6304416408 is about 1847.3462226076.

The spelling of 6304416408 in words is "six billion, three hundred four million, four hundred sixteen thousand, four hundred eight".