6725904247296 has 720 divisors, whose sum is σ = 22667445440640. Its totient is φ = 1912595742720.

The previous prime is 6725904247291. The next prime is 6725904247357. The reversal of 6725904247296 is 6927424095276.

6725904247296 is a `hidden beast` number, since 6 + 7 + 2 + 59 + 0 + 424 + 72 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (6725904247291) 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 71 ways as a sum of consecutive naturals, for example, 606642265 + ... + 606653351.

It is an arithmetic number, because the mean of its divisors is an integer number (31482563112).

Almost surely, 2^{6725904247296} 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 6725904247296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11333722720320).

6725904247296 is an abundant number, since it is smaller than the sum of its proper divisors (15941541193344).

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

6725904247296 is a wasteful number, since it uses less digits than its factorization.

6725904247296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11197 (or 11165 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 6725904247296 in words is "six trillion, seven hundred twenty-five billion, nine hundred four million, two hundred forty-seven thousand, two hundred ninety-six".