68075071744 has 81 divisors (see below), whose sum is σ = 142249738953. Its totient is φ = 32511722496.

The previous prime is 68075071741. The next prime is 68075071777. The reversal of 68075071744 is 44717057086.

The square root of 68075071744 is 260912.

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

It can be written as a sum of positive squares in only one way, i.e., 9084377344 + 58990694400 = 95312^2 + 242880^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (68075071741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 96015262 + ... + 96015970.

Almost surely, 2^68075071744 is an apocalyptic number.

68075071744 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

68075071744 is the 260912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68075071744

68075071744 is an abundant number, since it is smaller than the sum of its proper divisors (74174667209).

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

68075071744 is an frugal number, since it uses more digits than its factorization.

68075071744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 49.

Multiplying 68075071744 by its sum of digits (49), we get a square (3335678515456 = 1826384²).

The spelling of 68075071744 in words is "sixty-eight billion, seventy-five million, seventy-one thousand, seven hundred forty-four".