726314722080 has 768 divisors, whose sum is σ = 2507223269376. Its totient is φ = 176280698880.

The previous prime is 726314722073. The next prime is 726314722087. The reversal of 726314722080 is 80227413627.

It is a happy number.

It is a Cunningham number, because it is equal to 852241²-1.

It is an interprime number because it is at equal distance from previous prime (726314722073) and next prime (726314722087).

It is not an unprimeable number, because it can be changed into a prime (726314722087) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3802694785 + ... + 3802694975.

It is an arithmetic number, because the mean of its divisors is an integer number (3264613632).

Almost surely, 2^726314722080 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 726314722080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253611634688).

726314722080 is an abundant number, since it is smaller than the sum of its proper divisors (1780908547296).

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

726314722080 is a wasteful number, since it uses less digits than its factorization.

726314722080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 726314722080 in words is "seven hundred twenty-six billion, three hundred fourteen million, seven hundred twenty-two thousand, eighty".