727841664 has 192 divisors, whose sum is σ = 2405894400. Its totient is φ = 208880640.

The previous prime is 727841663. The next prime is 727841687. The reversal of 727841664 is 466148727.

727841664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727841663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239257 + ... + 242279.

It is an arithmetic number, because the mean of its divisors is an integer number (12530700).

Almost surely, 2^727841664 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 727841664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202947200).

727841664 is an abundant number, since it is smaller than the sum of its proper divisors (1678052736).

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

727841664 is a wasteful number, since it uses less digits than its factorization.

727841664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3073 (or 3058 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 727841664 is about 26978.5408056107. The cubic root of 727841664 is about 899.5230658229.

The spelling of 727841664 in words is "seven hundred twenty-seven million, eight hundred forty-one thousand, six hundred sixty-four".