67958754721 has 27 divisors (see below), whose sum is σ = 80930898867. Its totient is φ = 56997042960.

The previous prime is 67958754701. The next prime is 67958754739. The reversal of 67958754721 is 12745785976.

The square root of 67958754721 is 260689.

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

67958754721 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10053070225 + 57905684496 = 100265^2 + 240636^2 .

It is not a de Polignac number, because 67958754721 - 2¹³ = 67958746529 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 67958754721.

It is not an unprimeable number, because it can be changed into a prime (67958754701) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37277616 + ... + 37279438.

Almost surely, 2^67958754721 is an apocalyptic number.

67958754721 is the 260689-th square number.

67958754721 is the 130345-th centered octagonal number.

It is an amenable number.

67958754721 is a deficient number, since it is larger than the sum of its proper divisors (12972144146).

67958754721 is an equidigital number, since it uses as much as digits as its factorization.

67958754721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3694 (or 1847 counting only the distinct ones).

The product of its digits is 29635200, while the sum is 61.

The spelling of 67958754721 in words is "sixty-seven billion, nine hundred fifty-eight million, seven hundred fifty-four thousand, seven hundred twenty-one".