726981488640 has 832 divisors, whose sum is σ = 2848360619520. Its totient is φ = 174434549760.

The previous prime is 726981488627. The next prime is 726981488693. The reversal of 726981488640 is 46884189627.

726981488640 is a `hidden beast` number, since 7 + 2 + 6 + 98 + 1 + 488 + 64 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 650833362 + ... + 650834478.

It is an arithmetic number, because the mean of its divisors is an integer number (3423510360).

Almost surely, 2^726981488640 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 726981488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424180309760).

726981488640 is an abundant number, since it is smaller than the sum of its proper divisors (2121379130880).

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

726981488640 is a wasteful number, since it uses less digits than its factorization.

726981488640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 726981488640 in words is "seven hundred twenty-six billion, nine hundred eighty-one million, four hundred eighty-eight thousand, six hundred forty".