6416166416 has 80 divisors (see below), whose sum is σ = 13844488896. Its totient is φ = 2856000000.

The previous prime is 6416166403. The next prime is 6416166437. The reversal of 6416166416 is 6146616146.

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, 2693546 + ... + 2695926.

Almost surely, 2^6416166416 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 6416166416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6922244448).

6416166416 is an abundant number, since it is smaller than the sum of its proper divisors (7428322480).

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

6416166416 is a wasteful number, since it uses less digits than its factorization.

6416166416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2712 (or 2706 counting only the distinct ones).

The product of its digits is 124416, while the sum is 41.

The square root of 6416166416 is about 80100.9763735749. The cubic root of 6416166416 is about 1858.1975076652.

The spelling of 6416166416 in words is "six billion, four hundred sixteen million, one hundred sixty-six thousand, four hundred sixteen".