726550788096 has 720 divisors, whose sum is σ = 2553384834000. Its totient is φ = 205748895744.

The previous prime is 726550788053. The next prime is 726550788121. The reversal of 726550788096 is 690887055627.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

726550788096 is a `hidden beast` number, since 7 + 2 + 6 + 550 + 78 + 8 + 0 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6429652936 + ... + 6429653048.

It is an arithmetic number, because the mean of its divisors is an integer number (3546367825).

Almost surely, 2^726550788096 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 726550788096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276692417000).

726550788096 is an abundant number, since it is smaller than the sum of its proper divisors (1826834045904).

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

726550788096 is an frugal number, since it uses more digits than its factorization.

726550788096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 726550788096 in words is "seven hundred twenty-six billion, five hundred fifty million, seven hundred eighty-eight thousand, ninety-six".