6839232796656 has 480 divisors, whose sum is σ = 22378766417280. Its totient is φ = 1930449715200.

The previous prime is 6839232796651. The next prime is 6839232796687. The reversal of 6839232796656 is 6566972329386.

6839232796656 is a `hidden beast` number, since 6 + 83 + 92 + 327 + 96 + 6 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6839232796651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1971526890 + ... + 1971530358.

It is an arithmetic number, because the mean of its divisors is an integer number (46622430036).

Almost surely, 2^{6839232796656} 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 6839232796656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11189383208640).

6839232796656 is an abundant number, since it is smaller than the sum of its proper divisors (15539533620624).

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

6839232796656 is a wasteful number, since it uses less digits than its factorization.

6839232796656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5065 (or 5056 counting only the distinct ones).

The product of its digits is 1058158080, while the sum is 72.

The spelling of 6839232796656 in words is "six trillion, eight hundred thirty-nine billion, two hundred thirty-two million, seven hundred ninety-six thousand, six hundred fifty-six".