74627120412601 has 9 divisors (see below), whose sum is σ = 74678806960303. Its totient is φ = 74575469631280.

The previous prime is 74627120412587. The next prime is 74627120412667. The reversal of 74627120412601 is 10621402172647.

The square root of 74627120412601 is 8638699.

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., 7215138582201 + 67411981830400 = 2686101^2 + 8210480^2 .

It is not a de Polignac number, because 74627120412601 - 2⁵ = 74627120412569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (74627120412701) 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, 21087062490 + ... + 21087066028.

Almost surely, 2^{74627120412601} is an apocalyptic number.

74627120412601 is the 8638699-th square number.

74627120412601 is the 4319350-th centered octagonal number.

It is an amenable number.

74627120412601 is a deficient number, since it is larger than the sum of its proper divisors (51686547702).

74627120412601 is an frugal number, since it uses more digits than its factorization.

74627120412601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11960 (or 5980 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The spelling of 74627120412601 in words is "seventy-four trillion, six hundred twenty-seven billion, one hundred twenty million, four hundred twelve thousand, six hundred one".