6993916416 has 480 divisors, whose sum is σ = 23287080960. Its totient is φ = 2006581248.

The previous prime is 6993916381. The next prime is 6993916421. The reversal of 6993916416 is 6146193996.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55070145 + ... + 55070271.

It is an arithmetic number, because the mean of its divisors is an integer number (48514752).

Almost surely, 2^6993916416 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 6993916416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11643540480).

6993916416 is an abundant number, since it is smaller than the sum of its proper divisors (16293164544).

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

6993916416 is a wasteful number, since it uses less digits than its factorization.

6993916416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 205 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 54.

The square root of 6993916416 is about 83629.6383825734. The cubic root of 6993916416 is about 1912.3768565591.

The spelling of 6993916416 in words is "six billion, nine hundred ninety-three million, nine hundred sixteen thousand, four hundred sixteen".