726899009280 has 288 divisors, whose sum is σ = 2343962396160. Its totient is φ = 191976161280.

The previous prime is 726899009251. The next prime is 726899009281. The reversal of 726899009280 is 82900998627.

It is a happy number.

It is a super-2 number, since 2×726899009280² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726899009281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180773670 + ... + 180777690.

It is an arithmetic number, because the mean of its divisors is an integer number (8138758320).

Almost surely, 2^726899009280 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 726899009280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171981198080).

726899009280 is an abundant number, since it is smaller than the sum of its proper divisors (1617063386880).

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

726899009280 is a wasteful number, since it uses less digits than its factorization.

726899009280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4487 (or 4473 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 60.

The spelling of 726899009280 in words is "seven hundred twenty-six billion, eight hundred ninety-nine million, nine thousand, two hundred eighty".