726780332160 has 512 divisors, whose sum is σ = 2677230720000. Its totient is φ = 186170130432.

The previous prime is 726780332149. The next prime is 726780332183. The reversal of 726780332160 is 61233087627.

726780332160 is a `hidden beast` number, since 7 + 267 + 8 + 0 + 3 + 321 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 50502246 + ... + 50516634.

It is an arithmetic number, because the mean of its divisors is an integer number (5228966250).

Almost surely, 2^726780332160 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 726780332160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338615360000).

726780332160 is an abundant number, since it is smaller than the sum of its proper divisors (1950450387840).

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

726780332160 is a wasteful number, since it uses less digits than its factorization.

726780332160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14533 (or 14515 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 726780332160 in words is "seven hundred twenty-six billion, seven hundred eighty million, three hundred thirty-two thousand, one hundred sixty".