726098397696 has 640 divisors, whose sum is σ = 2573835264000. Its totient is φ = 197610209280.

The previous prime is 726098397671. The next prime is 726098397743. The reversal of 726098397696 is 696793890627.

726098397696 is a `hidden beast` number, since 7 + 2 + 60 + 98 + 397 + 6 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 692180980 + ... + 692182028.

It is an arithmetic number, because the mean of its divisors is an integer number (4021617600).

Almost surely, 2^726098397696 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 726098397696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286917632000).

726098397696 is an abundant number, since it is smaller than the sum of its proper divisors (1847736866304).

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

726098397696 is a wasteful number, since it uses less digits than its factorization.

726098397696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 370355328, while the sum is 72.

The spelling of 726098397696 in words is "seven hundred twenty-six billion, ninety-eight million, three hundred ninety-seven thousand, six hundred ninety-six".