6416718336 has 240 divisors, whose sum is σ = 21263930688. Its totient is φ = 1824768000.

The previous prime is 6416718317. The next prime is 6416718337. The reversal of 6416718336 is 6338176146.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 6416718291 and 6416718300.

It is not an unprimeable number, because it can be changed into a prime (6416718337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10676436 + ... + 10677036.

Almost surely, 2^6416718336 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 6416718336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10631965344).

6416718336 is an abundant number, since it is smaller than the sum of its proper divisors (14847212352).

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

6416718336 is a wasteful number, since it uses less digits than its factorization.

6416718336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 944 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 6416718336 is about 80104.4214510036. The cubic root of 6416718336 is about 1858.2507869858.

The spelling of 6416718336 in words is "six billion, four hundred sixteen million, seven hundred eighteen thousand, three hundred thirty-six".