6719313920 has 384 divisors, whose sum is σ = 19424059200. Its totient is φ = 2220359680.

The previous prime is 6719313917. The next prime is 6719313959. The reversal of 6719313920 is 293139176.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231700466 + ... + 231700494.

Almost surely, 2^6719313920 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 6719313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9712029600).

6719313920 is an abundant number, since it is smaller than the sum of its proper divisors (12704745280).

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

6719313920 is a wasteful number, since it uses less digits than its factorization.

6719313920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 41.

The square root of 6719313920 is about 81971.4213613501. The cubic root of 6719313920 is about 1887.0133693956.

The spelling of 6719313920 in words is "six billion, seven hundred nineteen million, three hundred thirteen thousand, nine hundred twenty".