727353196416 has 1152 divisors, whose sum is σ = 2838497126400. Its totient is φ = 176388710400.

The previous prime is 727353196373. The next prime is 727353196469. The reversal of 727353196416 is 614691353727.

727353196416 is a `hidden beast` number, since 7 + 2 + 7 + 3 + 531 + 96 + 4 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 558213621 + ... + 558214923.

It is an arithmetic number, because the mean of its divisors is an integer number (2463973200).

Almost surely, 2^727353196416 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 727353196416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419248563200).

727353196416 is an abundant number, since it is smaller than the sum of its proper divisors (2111143929984).

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

727353196416 is a wasteful number, since it uses less digits than its factorization.

727353196416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1386 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The spelling of 727353196416 in words is "seven hundred twenty-seven billion, three hundred fifty-three million, one hundred ninety-six thousand, four hundred sixteen".