726801601036 has 192 divisors, whose sum is σ = 1584866304000. Its totient is φ = 284766451200.

The previous prime is 726801601013. The next prime is 726801601049. The reversal of 726801601036 is 630106108627.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 726801601036.

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, 421822471 + ... + 421824193.

It is an arithmetic number, because the mean of its divisors is an integer number (8254512000).

Almost surely, 2^726801601036 is an apocalyptic number.

726801601036 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 726801601036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792433152000).

726801601036 is an abundant number, since it is smaller than the sum of its proper divisors (858064702964).

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

726801601036 is a wasteful number, since it uses less digits than its factorization.

726801601036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 726801601036 in words is "seven hundred twenty-six billion, eight hundred one million, six hundred one thousand, thirty-six".