6409885584168 has 448 divisors, whose sum is σ = 20104271953920. Its totient is φ = 1898382096000.

The previous prime is 6409885584149. The next prime is 6409885584199. The reversal of 6409885584168 is 8614855889046.

6409885584168 is a `hidden beast` number, since 6 + 4 + 0 + 9 + 8 + 8 + 558 + 4 + 1 + 68 = 666.

It is a super-2 number, since 2×6409885584168² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6409885584096 and 6409885584105.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3470429821 + ... + 3470431667.

It is an arithmetic number, because the mean of its divisors is an integer number (44875607040).

Almost surely, 2^{6409885584168} 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 6409885584168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10052135976960).

6409885584168 is an abundant number, since it is smaller than the sum of its proper divisors (13694386369752).

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

6409885584168 is a wasteful number, since it uses less digits than its factorization.

6409885584168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3080 (or 3061 counting only the distinct ones).

The product of its (nonzero) digits is 530841600, while the sum is 72.

It can be divided in two parts, 640988 and 5584168, that added together give a triangular number (6225156 = T₃₅₂₈).

The spelling of 6409885584168 in words is "six trillion, four hundred nine billion, eight hundred eighty-five million, five hundred eighty-four thousand, one hundred sixty-eight".