727680440000 has 140 divisors (see below), whose sum is σ = 1882866027504. Its totient is φ = 278416512000.

The previous prime is 727680439919. The next prime is 727680440059. The reversal of 727680440000 is 44086727.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 524522 + ... + 1315478.

Almost surely, 2^727680440000 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 727680440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941433013752).

727680440000 is an abundant number, since it is smaller than the sum of its proper divisors (1155185587504).

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

727680440000 is an equidigital number, since it uses as much as digits as its factorization.

727680440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791012 (or 790987 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The spelling of 727680440000 in words is "seven hundred twenty-seven billion, six hundred eighty million, four hundred forty thousand".