67417603201 has 9 divisors (see below), whose sum is σ = 73006148649. Its totient is φ = 62228517936.

The previous prime is 67417603199. The next prime is 67417603207. The reversal of 67417603201 is 10230671476.

The square root of 67417603201 is 259649.

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 16269257601 + 51148345600 = 127551^2 + 226160^2 .

It is not a de Polignac number, because 67417603201 - 2¹ = 67417603199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67417603207) 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, 3365451 + ... + 3385423.

Almost surely, 2^67417603201 is an apocalyptic number.

67417603201 is the 259649-th square number.

67417603201 is the 129825-th centered octagonal number.

It is an amenable number.

67417603201 is a deficient number, since it is larger than the sum of its proper divisors (5588545448).

67417603201 is an frugal number, since it uses more digits than its factorization.

67417603201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39972 (or 19986 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The spelling of 67417603201 in words is "sixty-seven billion, four hundred seventeen million, six hundred three thousand, two hundred one".