6681716448 has 192 divisors, whose sum is σ = 20328392448. Its totient is φ = 1899192320.

The previous prime is 6681716441. The next prime is 6681716467. The reversal of 6681716448 is 8446171866.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 6681716448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6681716441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8383186 + ... + 8383982.

It is an arithmetic number, because the mean of its divisors is an integer number (105877044).

Almost surely, 2^6681716448 is an apocalyptic number.

6681716448 is a gapful number since it is divisible by the number (68) 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 6681716448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10164196224).

6681716448 is an abundant number, since it is smaller than the sum of its proper divisors (13646676000).

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

6681716448 is a wasteful number, since it uses less digits than its factorization.

6681716448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1297 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 51.

The square root of 6681716448 is about 81741.7668514695. The cubic root of 6681716448 is about 1883.4872320386.

The spelling of 6681716448 in words is "six billion, six hundred eighty-one million, seven hundred sixteen thousand, four hundred forty-eight".