726306193408 has 204 divisors, whose sum is σ = 1544218229340. Its totient is φ = 341186707456.

The previous prime is 726306193367. The next prime is 726306193447. The reversal of 726306193408 is 804391603627.

It can be written as a sum of positive squares in 2 ways, for example, as 538685538304 + 187620655104 = 733952^2 + 433152^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4198301610 + ... + 4198301782.

Almost surely, 2^726306193408 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 726306193408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772109114670).

726306193408 is an abundant number, since it is smaller than the sum of its proper divisors (817912035932).

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

726306193408 is an frugal number, since it uses more digits than its factorization.

726306193408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 49.

The spelling of 726306193408 in words is "seven hundred twenty-six billion, three hundred six million, one hundred ninety-three thousand, four hundred eight".