6408110016 has 448 divisors, whose sum is σ = 24877532160. Its totient is φ = 1565982720.

The previous prime is 6408110003. The next prime is 6408110087. The reversal of 6408110016 is 6100118046.

6408110016 is a `hidden beast` number, since 640 + 8 + 1 + 1 + 0 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2260536 + ... + 2263368.

Almost surely, 2^6408110016 is an apocalyptic number.

6408110016 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 6408110016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12438766080).

6408110016 is an abundant number, since it is smaller than the sum of its proper divisors (18469422144).

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

6408110016 is a wasteful number, since it uses less digits than its factorization.

6408110016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 6408110016 is about 80050.6715524611. The cubic root of 6408110016 is about 1857.4194390797.

The spelling of 6408110016 in words is "six billion, four hundred eight million, one hundred ten thousand, sixteen".