727213455360 has 2304 divisors, whose sum is σ = 3372780902400. Its totient is φ = 144813588480.

The previous prime is 727213455359. The next prime is 727213455407. The reversal of 727213455360 is 63554312727.

727213455360 is a `hidden beast` number, since 7 + 2 + 7 + 2 + 1 + 34 + 553 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23458498545 + ... + 23458498575.

It is an arithmetic number, because the mean of its divisors is an integer number (1463880600).

Almost surely, 2^727213455360 is an apocalyptic number.

727213455360 is a gapful number since it is divisible by the number (70) 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 727213455360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686390451200).

727213455360 is an abundant number, since it is smaller than the sum of its proper divisors (2645567447040).

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

727213455360 is a wasteful number, since it uses less digits than its factorization.

727213455360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 727213455360 in words is "seven hundred twenty-seven billion, two hundred thirteen million, four hundred fifty-five thousand, three hundred sixty".