727796015858340 has 1152 divisors, whose sum is σ = 2694680980992000. Its totient is φ = 156587655168000.

The previous prime is 727796015858323. The next prime is 727796015858357. The reversal of 727796015858340 is 43858510697727.

727796015858340 is a `hidden beast` number, since 7 + 2 + 7 + 7 + 9 + 6 + 0 + 1 + 585 + 8 + 34 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (727796015858323) and next prime (727796015858357).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 86344285246 + ... + 86344293674.

It is an arithmetic number, because the mean of its divisors is an integer number (2339132796000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅727796015858340 = 1455592031716680, but 3⋅727796015858340 = 2183388047575020 is not.

Almost surely, 2^{727796015858340} 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 727796015858340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347340490496000).

727796015858340 is an abundant number, since it is smaller than the sum of its proper divisors (1966884965133660).

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

727796015858340 is a wasteful number, since it uses less digits than its factorization.

727796015858340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9189 (or 9184 counting only the distinct ones).

The product of its (nonzero) digits is 711244800, while the sum is 72.

The spelling of 727796015858340 in words is "seven hundred twenty-seven trillion, seven hundred ninety-six billion, fifteen million, eight hundred fifty-eight thousand, three hundred forty".