27629420841 has 135 divisors (see below), whose sum is σ = 48083614887. Its totient is φ = 15797643840.

The previous prime is 27629420839. The next prime is 27629420849. The reversal of 27629420841 is 14802492672.

The square root of 27629420841 is 166221.

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., 15683805225 + 11945615616 = 125235^2 + 109296^2 .

It is not a de Polignac number, because 27629420841 - 2¹ = 27629420839 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27629420849) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 378485181 + ... + 378485253.

Almost surely, 2^27629420841 is an apocalyptic number.

27629420841 is the 166221-st square number.

27629420841 is the 83111-st centered octagonal number.

It is an amenable number.

27629420841 is a deficient number, since it is larger than the sum of its proper divisors (20454194046).

27629420841 is an equidigital number, since it uses as much as digits as its factorization.

27629420841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 27629420841 in words is "twenty-seven billion, six hundred twenty-nine million, four hundred twenty thousand, eight hundred forty-one".