726351587258688 has 672 divisors, whose sum is σ = 2297184757920000. Its totient is φ = 218408788426752.

The previous prime is 726351587258641. The next prime is 726351587258701. The reversal of 726351587258688 is 886852785153627.

726351587258688 is a `hidden beast` number, since 7 + 2 + 6 + 3 + 5 + 1 + 587 + 25 + 8 + 6 + 8 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54823118688 + ... + 54823131936.

Almost surely, 2^{726351587258688} 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 726351587258688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148592378960000).

726351587258688 is an abundant number, since it is smaller than the sum of its proper divisors (1570833170661312).

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

726351587258688 is a wasteful number, since it uses less digits than its factorization.

726351587258688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14279 (or 14266 counting only the distinct ones).

The product of its digits is 10838016000, while the sum is 81.

The spelling of 726351587258688 in words is "seven hundred twenty-six trillion, three hundred fifty-one billion, five hundred eighty-seven million, two hundred fifty-eight thousand, six hundred eighty-eight".