6719128416 has 768 divisors, whose sum is σ = 27921438720. Its totient is φ = 1512898560.

The previous prime is 6719128397. The next prime is 6719128417. The reversal of 6719128416 is 6148219176.

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 (6719128417) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14702460 + ... + 14702916.

It is an arithmetic number, because the mean of its divisors is an integer number (36356040).

Almost surely, 2^6719128416 is an apocalyptic number.

6719128416 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6719128416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13960719360).

6719128416 is an abundant number, since it is smaller than the sum of its proper divisors (21202310304).

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

6719128416 is a wasteful number, since it uses less digits than its factorization.

6719128416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 510 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 6719128416 is about 81970.2898372331. The cubic root of 6719128416 is about 1886.9960039446.

The spelling of 6719128416 in words is "six billion, seven hundred nineteen million, one hundred twenty-eight thousand, four hundred sixteen".