727386940800 has 576 divisors, whose sum is σ = 2942277046800. Its totient is φ = 169623797760.

The previous prime is 727386940771. The next prime is 727386940817. The reversal of 727386940800 is 8049683727.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7062474 + ... + 7164726.

Almost surely, 2^727386940800 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 727386940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471138523400).

727386940800 is an abundant number, since it is smaller than the sum of its proper divisors (2214890106000).

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

727386940800 is a wasteful number, since it uses less digits than its factorization.

727386940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102315 (or 102295 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 727386940800 in words is "seven hundred twenty-seven billion, three hundred eighty-six million, nine hundred forty thousand, eight hundred".