6719348064 has 288 divisors, whose sum is σ = 21754946304. Its totient is φ = 1796720640.

The previous prime is 6719348063. The next prime is 6719348089. The reversal of 6719348064 is 4608439176.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6719348063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4103854 + ... + 4105490.

It is an arithmetic number, because the mean of its divisors is an integer number (75538008).

Almost surely, 2^6719348064 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 6719348064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10877473152).

6719348064 is an abundant number, since it is smaller than the sum of its proper divisors (15035598240).

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

6719348064 is a wasteful number, since it uses less digits than its factorization.

6719348064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 6719348064 is about 81971.6296287929. The cubic root of 6719348064 is about 1887.0165656582.

The spelling of 6719348064 in words is "six billion, seven hundred nineteen million, three hundred forty-eight thousand, sixty-four".