6807966048 has 144 divisors (see below), whose sum is σ = 21522324096. Its totient is φ = 2027151360.

The previous prime is 6807966043. The next prime is 6807966059. The reversal of 6807966048 is 8406697086.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 6807965985 and 6807966003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6807966043) 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, 86736 + ... + 145392.

It is an arithmetic number, because the mean of its divisors is an integer number (149460584).

Almost surely, 2^6807966048 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 6807966048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10761162048).

6807966048 is an abundant number, since it is smaller than the sum of its proper divisors (14714358048).

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

6807966048 is a wasteful number, since it uses less digits than its factorization.

6807966048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58717 (or 58706 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 6807966048 is about 82510.3996354399. The cubic root of 6807966048 is about 1895.2759880495.

The spelling of 6807966048 in words is "six billion, eight hundred seven million, nine hundred sixty-six thousand, forty-eight".