6416887188 has 72 divisors (see below), whose sum is σ = 15592711680. Its totient is φ = 2053775360.

The previous prime is 6416887187. The next prime is 6416887189. The reversal of 6416887188 is 8817886146.

It is an interprime number because it is at equal distance from previous prime (6416887187) and next prime (6416887189).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6416887187) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1925908 + ... + 1929236.

It is an arithmetic number, because the mean of its divisors is an integer number (216565440).

Almost surely, 2^6416887188 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 6416887188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7796355840).

6416887188 is an abundant number, since it is smaller than the sum of its proper divisors (9175824492).

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

6416887188 is a wasteful number, since it uses less digits than its factorization.

6416887188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3585 (or 3554 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 57.

The square root of 6416887188 is about 80105.4753933837. The cubic root of 6416887188 is about 1858.2670864187.

The spelling of 6416887188 in words is "six billion, four hundred sixteen million, eight hundred eighty-seven thousand, one hundred eighty-eight".