727706721600 has 420 divisors, whose sum is σ = 2683456412604. Its totient is φ = 193432043520.

The previous prime is 727706721559. The next prime is 727706721613. The reversal of 727706721600 is 6127607727.

727706721600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 16369667136 + 711337054464 = 127944^2 + 843408^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 41074344 + ... + 41092056.

Almost surely, 2^727706721600 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 727706721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341728206302).

727706721600 is an abundant number, since it is smaller than the sum of its proper divisors (1955749691004).

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

727706721600 is a wasteful number, since it uses less digits than its factorization.

727706721600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18064 (or 18040 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The spelling of 727706721600 in words is "seven hundred twenty-seven billion, seven hundred six million, seven hundred twenty-one thousand, six hundred".