67558926241 has 9 divisors (see below), whose sum is σ = 68700728889. Its totient is φ = 66435807600.

The previous prime is 67558926203. The next prime is 67558926247. The reversal of 67558926241 is 14262985576.

The square root of 67558926241 is 259921.

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

It can be written as a sum of positive squares in 4 ways, for example, as 519841 + 67558406400 = 721^2 + 259920^2 .

It is not a de Polignac number, because 67558926241 - 2²¹ = 67556829089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67558926247) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15853051 + ... + 15857311.

It is an arithmetic number, because the mean of its divisors is an integer number (7633414321).

Almost surely, 2^67558926241 is an apocalyptic number.

67558926241 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

67558926241 is the 259921-st square number.

67558926241 is the 129961-st centered octagonal number.

It is an amenable number.

67558926241 is a deficient number, since it is larger than the sum of its proper divisors (1141802648).

67558926241 is an frugal number, since it uses more digits than its factorization.

67558926241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8644 (or 4322 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 55.

The spelling of 67558926241 in words is "sixty-seven billion, five hundred fifty-eight million, nine hundred twenty-six thousand, two hundred forty-one".