727009468416 has 1792 divisors, whose sum is σ = 2971399127040. Its totient is φ = 171992678400.

The previous prime is 727009468403. The next prime is 727009468417. The reversal of 727009468416 is 614864900727.

727009468416 is a `hidden beast` number, since 72 + 70 + 0 + 9 + 468 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (727009468417) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23451918321 + ... + 23451918351.

Almost surely, 2^727009468416 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 727009468416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485699563520).

727009468416 is an abundant number, since it is smaller than the sum of its proper divisors (2244389658624).

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

727009468416 is an equidigital number, since it uses as much as digits as its factorization.

727009468416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 727009468416 in words is "seven hundred twenty-seven billion, nine million, four hundred sixty-eight thousand, four hundred sixteen".