68381727001 has 9 divisors (see below), whose sum is σ = 79548219999. Its totient is φ = 58611339864.

The previous prime is 68381726989. The next prime is 68381727013. The reversal of 68381727001 is 10072718386.

The square root of 68381727001 is 261499.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (68381726989) and next prime (68381727013).

It can be written as a sum of positive squares in only one way, i.e., 15446761225 + 52934965776 = 124285^2 + 230076^2 .

It is not a de Polignac number, because 68381727001 - 2²¹ = 68379629849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (68381727101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1811815 + ... + 1849171.

It is an arithmetic number, because the mean of its divisors is an integer number (8838691111).

Almost surely, 2^68381727001 is an apocalyptic number.

68381727001 is the 261499-th square number.

68381727001 is the 130750-th centered octagonal number.

It is an amenable number.

68381727001 is a deficient number, since it is larger than the sum of its proper divisors (11166492998).

68381727001 is an frugal number, since it uses more digits than its factorization.

68381727001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74728 (or 37364 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 43.

The spelling of 68381727001 in words is "sixty-eight billion, three hundred eighty-one million, seven hundred twenty-seven thousand, one".