726289045560 has 512 divisors, whose sum is σ = 2808279936000. Its totient is φ = 165427992576.

The previous prime is 726289045543. The next prime is 726289045583. The reversal of 726289045560 is 65540982627.

726289045560 is a `hidden beast` number, since 7 + 2 + 6 + 2 + 89 + 0 + 4 + 556 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 726289045497 and 726289045506.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 11439022 + ... + 11502338.

It is an arithmetic number, because the mean of its divisors is an integer number (5484921750).

Almost surely, 2^726289045560 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 726289045560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404139968000).

726289045560 is an abundant number, since it is smaller than the sum of its proper divisors (2081990890440).

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

726289045560 is a wasteful number, since it uses less digits than its factorization.

726289045560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63412 (or 63402 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 726289045560 in words is "seven hundred twenty-six billion, two hundred eighty-nine million, forty-five thousand, five hundred sixty".