726720058368 has 264 divisors, whose sum is σ = 2183243079680. Its totient is φ = 232568340480.

The previous prime is 726720058343. The next prime is 726720058369. The reversal of 726720058368 is 863850027627.

726720058368 is a `hidden beast` number, since 7 + 26 + 7 + 200 + 58 + 368 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726720058369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36273378 + ... + 36293406.

Almost surely, 2^726720058368 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 726720058368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091621539840).

726720058368 is an abundant number, since it is smaller than the sum of its proper divisors (1456523021312).

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

726720058368 is a wasteful number, since it uses less digits than its factorization.

726720058368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20213 (or 20192 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 726720058368 in words is "seven hundred twenty-six billion, seven hundred twenty million, fifty-eight thousand, three hundred sixty-eight".