727720132608 has 672 divisors, whose sum is σ = 2640599423280. Its totient is φ = 195689447424.

The previous prime is 727720132483. The next prime is 727720132631. The reversal of 727720132608 is 806231027727.

727720132608 is a `hidden beast` number, since 7 + 2 + 7 + 7 + 2 + 0 + 1 + 32 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 42807066616 + ... + 42807066632.

Almost surely, 2^727720132608 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 727720132608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320299711640).

727720132608 is an abundant number, since it is smaller than the sum of its proper divisors (1912879290672).

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

727720132608 is an frugal number, since it uses more digits than its factorization.

727720132608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 727720132608 in words is "seven hundred twenty-seven billion, seven hundred twenty million, one hundred thirty-two thousand, six hundred eight".