727648581408 has 96 divisors (see below), whose sum is σ = 2183231232000. Its totient is φ = 207872405760.

The previous prime is 727648581371. The next prime is 727648581469. The reversal of 727648581408 is 804185846727.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 5383843 + ... + 5517341.

It is an arithmetic number, because the mean of its divisors is an integer number (22741992000).

Almost surely, 2^727648581408 is an apocalyptic number.

It is an amenable number.

727648581408 is an abundant number, since it is smaller than the sum of its proper divisors (1455582650592).

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

727648581408 is a wasteful number, since it uses less digits than its factorization.

727648581408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141630 (or 141622 counting only the distinct ones).

The product of its (nonzero) digits is 24084480, while the sum is 60.

The spelling of 727648581408 in words is "seven hundred twenty-seven billion, six hundred forty-eight million, five hundred eighty-one thousand, four hundred eight".