726008642688 has 192 divisors, whose sum is σ = 2281336855200. Its totient is φ = 203914948608.

The previous prime is 726008642687. The next prime is 726008642713. The reversal of 726008642688 is 886246800627.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (726008642687) 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 23 ways as a sum of consecutive naturals, for example, 783156 + ... + 1437132.

Almost surely, 2^726008642688 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 726008642688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140668427600).

726008642688 is an abundant number, since it is smaller than the sum of its proper divisors (1555328212512).

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

726008642688 is a wasteful number, since it uses less digits than its factorization.

726008642688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654067 (or 654048 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 57.

The spelling of 726008642688 in words is "seven hundred twenty-six billion, eight million, six hundred forty-two thousand, six hundred eighty-eight".