6839363912680 has 512 divisors, whose sum is σ = 18509565312000. Its totient is φ = 2251272683520.

The previous prime is 6839363912639. The next prime is 6839363912681. The reversal of 6839363912680 is 862193639386.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (6839363912681) 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, 1974980629 + ... + 1974984091.

It is an arithmetic number, because the mean of its divisors is an integer number (36151494750).

Almost surely, 2^{6839363912680} 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 6839363912680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9254782656000).

6839363912680 is an abundant number, since it is smaller than the sum of its proper divisors (11670201399320).

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

6839363912680 is a wasteful number, since it uses less digits than its factorization.

6839363912680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3709 (or 3705 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 64.

The spelling of 6839363912680 in words is "six trillion, eight hundred thirty-nine billion, three hundred sixty-three million, nine hundred twelve thousand, six hundred eighty".