727736338560 has 1024 divisors, whose sum is σ = 3017953935360. Its totient is φ = 144742809600.

The previous prime is 727736338559. The next prime is 727736338607. The reversal of 727736338560 is 65833637727.

It is a self number, because there is not a number n which added to its sum of digits gives 727736338560.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 444554062 + ... + 444555698.

It is an arithmetic number, because the mean of its divisors is an integer number (2947220640).

Almost surely, 2^727736338560 is an apocalyptic number.

727736338560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 727736338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508976967680).

727736338560 is an abundant number, since it is smaller than the sum of its proper divisors (2290217596800).

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

727736338560 is a wasteful number, since it uses less digits than its factorization.

727736338560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1805 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 57.

The spelling of 727736338560 in words is "seven hundred twenty-seven billion, seven hundred thirty-six million, three hundred thirty-eight thousand, five hundred sixty".