726404346450200 has 288 divisors, whose sum is σ = 1898335781858880. Its totient is φ = 258192126720000.

The previous prime is 726404346450191. The next prime is 726404346450229. The reversal of 726404346450200 is 2054643404627.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 878797100 + ... + 879623300.

It is an arithmetic number, because the mean of its divisors is an integer number (6591443687010).

Almost surely, 2^{726404346450200} 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 726404346450200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949167890929440).

726404346450200 is an abundant number, since it is smaller than the sum of its proper divisors (1171931435408680).

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

726404346450200 is a wasteful number, since it uses less digits than its factorization.

726404346450200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827059 (or 827039 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 47.

Adding to 726404346450200 its reverse (2054643404627), we get a palindrome (728458989854827).

The spelling of 726404346450200 in words is "seven hundred twenty-six trillion, four hundred four billion, three hundred forty-six million, four hundred fifty thousand, two hundred".