6723809066832 has 320 divisors, whose sum is σ = 22173487472640. Its totient is φ = 1724318668800.

The previous prime is 6723809066797. The next prime is 6723809066839. The reversal of 6723809066832 is 2386609083276.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6723809066839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3211338 + ... + 4874454.

It is an arithmetic number, because the mean of its divisors is an integer number (69292148352).

Almost surely, 2^{6723809066832} is an apocalyptic number.

6723809066832 is a gapful number since it is divisible by the number (62) 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 6723809066832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11086743736320).

6723809066832 is an abundant number, since it is smaller than the sum of its proper divisors (15449678405808).

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

6723809066832 is a wasteful number, since it uses less digits than its factorization.

6723809066832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663202 (or 1663196 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 60.

The spelling of 6723809066832 in words is "six trillion, seven hundred twenty-three billion, eight hundred nine million, sixty-six thousand, eight hundred thirty-two".