726029370096 has 320 divisors, whose sum is σ = 2073364439040. Its totient is φ = 218243773440.

The previous prime is 726029370083. The next prime is 726029370113. The reversal of 726029370096 is 690073920627.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 171110151 + ... + 171114393.

It is an arithmetic number, because the mean of its divisors is an integer number (6479263872).

Almost surely, 2^726029370096 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 726029370096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036682219520).

726029370096 is an abundant number, since it is smaller than the sum of its proper divisors (1347335068944).

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

726029370096 is a wasteful number, since it uses less digits than its factorization.

726029370096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4444 (or 4438 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 51.

The spelling of 726029370096 in words is "seven hundred twenty-six billion, twenty-nine million, three hundred seventy thousand, ninety-six".