727658027712 has 672 divisors, whose sum is σ = 2747483781120. Its totient is φ = 178587279360.

The previous prime is 727658027671. The next prime is 727658027731. The reversal of 727658027712 is 217720856727.

727658027712 is a `hidden beast` number, since 7 + 27 + 6 + 580 + 27 + 7 + 12 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 60445758 + ... + 60457794.

Almost surely, 2^727658027712 is an apocalyptic number.

727658027712 is a gapful number since it is divisible by the number (72) 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 727658027712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373741890560).

727658027712 is an abundant number, since it is smaller than the sum of its proper divisors (2019825753408).

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

727658027712 is a wasteful number, since it uses less digits than its factorization.

727658027712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12149 (or 12136 counting only the distinct ones).

The product of its (nonzero) digits is 4609920, while the sum is 54.

The spelling of 727658027712 in words is "seven hundred twenty-seven billion, six hundred fifty-eight million, twenty-seven thousand, seven hundred twelve".