726795226080 has 2304 divisors, whose sum is σ = 3407425781760. Its totient is φ = 136559001600.

The previous prime is 726795226067. The next prime is 726795226139. The reversal of 726795226080 is 80622597627.

726795226080 is a `hidden beast` number, since 7 + 2 + 6 + 7 + 9 + 5 + 22 + 608 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6431816104 + ... + 6431816216.

It is an arithmetic number, because the mean of its divisors is an integer number (1478917440).

Almost surely, 2^726795226080 is an apocalyptic number.

726795226080 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 726795226080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1703712890880).

726795226080 is an abundant number, since it is smaller than the sum of its proper divisors (2680630555680).

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

726795226080 is a wasteful number, since it uses less digits than its factorization.

726795226080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 726795226080 in words is "seven hundred twenty-six billion, seven hundred ninety-five million, two hundred twenty-six thousand, eighty".