6404663616 has 112 divisors (see below), whose sum is σ = 18337182528. Its totient is φ = 1961164800.

The previous prime is 6404663609. The next prime is 6404663653. The reversal of 6404663616 is 6163664046.

It is a super-2 number, since 2×6404663616² = 82039432068228390912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 520576 + ... + 532736.

It is an arithmetic number, because the mean of its divisors is an integer number (163724844).

Almost surely, 2^6404663616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6404663616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9168591264).

6404663616 is an abundant number, since it is smaller than the sum of its proper divisors (11932518912).

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

6404663616 is a wasteful number, since it uses less digits than its factorization.

6404663616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12400 (or 12390 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The square root of 6404663616 is about 80029.1422920426. The cubic root of 6404663616 is about 1857.0863945325.

The spelling of 6404663616 in words is "six billion, four hundred four million, six hundred sixty-three thousand, six hundred sixteen".