727166545040 has 160 divisors (see below), whose sum is σ = 1847574768480. Its totient is φ = 264555528192.

The previous prime is 727166544989. The next prime is 727166545057. The reversal of 727166545040 is 40545661727.

It can be written as a sum of positive squares in 16 ways, for example, as 81284290816 + 645882254224 = 285104^2 + 803668^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23085782 + ... + 23117258.

It is an arithmetic number, because the mean of its divisors is an integer number (11547342303).

Almost surely, 2^727166545040 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 727166545040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923787384240).

727166545040 is an abundant number, since it is smaller than the sum of its proper divisors (1120408223440).

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

727166545040 is a wasteful number, since it uses less digits than its factorization.

727166545040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31829 (or 31823 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 47.

The spelling of 727166545040 in words is "seven hundred twenty-seven billion, one hundred sixty-six million, five hundred forty-five thousand, forty".