726706780800 has 1536 divisors, whose sum is σ = 3284189798400. Its totient is φ = 136337817600.

The previous prime is 726706780783. The next prime is 726706780801. The reversal of 726706780800 is 8087607627.

It is not an unprimeable number, because it can be changed into a prime (726706780801) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 451650396 + ... + 451652004.

It is an arithmetic number, because the mean of its divisors is an integer number (2138144400).

Almost surely, 2^726706780800 is an apocalyptic number.

726706780800 is a gapful number since it is divisible by the number (70) 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 726706780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642094899200).

726706780800 is an abundant number, since it is smaller than the sum of its proper divisors (2557483017600).

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

726706780800 is a wasteful number, since it uses less digits than its factorization.

726706780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 51.

The spelling of 726706780800 in words is "seven hundred twenty-six billion, seven hundred six million, seven hundred eighty thousand, eight hundred".