726480855360 has 336 divisors, whose sum is σ = 2721254674320. Its totient is φ = 176815964160.

The previous prime is 726480855349. The next prime is 726480855377. The reversal of 726480855360 is 63558084627.

726480855360 is a `hidden beast` number, since 7 + 2 + 6 + 4 + 80 + 8 + 553 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 176581486656 + 549899368704 = 420216^2 + 741552^2 .

It is a junction number, because it is equal to n+sod(n) for n = 726480855297 and 726480855306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3223150 + ... + 3441170.

It is an arithmetic number, because the mean of its divisors is an integer number (8098972245).

Almost surely, 2^726480855360 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 726480855360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360627337160).

726480855360 is an abundant number, since it is smaller than the sum of its proper divisors (1994773818960).

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

726480855360 is a wasteful number, since it uses less digits than its factorization.

726480855360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218146 (or 218133 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 726480855360 in words is "seven hundred twenty-six billion, four hundred eighty million, eight hundred fifty-five thousand, three hundred sixty".