727850066724 has 144 divisors (see below), whose sum is σ = 2017779603840. Its totient is φ = 219389829120.

The previous prime is 727850066701. The next prime is 727850066833. The reversal of 727850066724 is 427660058727.

727850066724 is a `hidden beast` number, since 7 + 2 + 7 + 8 + 500 + 66 + 72 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73836004 + ... + 73845860.

It is an arithmetic number, because the mean of its divisors is an integer number (14012358360).

Almost surely, 2^727850066724 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 727850066724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008889801920).

727850066724 is an abundant number, since it is smaller than the sum of its proper divisors (1289929537116).

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

727850066724 is a wasteful number, since it uses less digits than its factorization.

727850066724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10850 (or 10845 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 727850066724 in words is "seven hundred twenty-seven billion, eight hundred fifty million, sixty-six thousand, seven hundred twenty-four".