6693676416 has 192 divisors, whose sum is σ = 22096357920. Its totient is φ = 1905278976.

The previous prime is 6693676411. The next prime is 6693676427. The reversal of 6693676416 is 6146763966.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×6693676416² = 89610607924229210112, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6693676411) 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, 2361336 + ... + 2364168.

Almost surely, 2^6693676416 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 6693676416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11048178960).

6693676416 is an abundant number, since it is smaller than the sum of its proper divisors (15402681504).

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

6693676416 is a wasteful number, since it uses less digits than its factorization.

6693676416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3153 (or 3138 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The square root of 6693676416 is about 81814.8911629173. The cubic root of 6693676416 is about 1884.6103476388.

The spelling of 6693676416 in words is "six billion, six hundred ninety-three million, six hundred seventy-six thousand, four hundred sixteen".