4627672729 has 9 divisors (see below), whose sum is σ = 4711523583. Its totient is φ = 4545292032.

The previous prime is 4627672711. The next prime is 4627672741. The reversal of 4627672729 is 9272767264.

The square root of 4627672729 is 68027.

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., 3657225625 + 970447104 = 60475^2 + 31152^2 .

It is not a de Polignac number, because 4627672729 - 2¹¹ = 4627670681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4627672229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4013017 + ... + 4014169.

Almost surely, 2^4627672729 is an apocalyptic number.

4627672729 is the 68027-th square number.

4627672729 is the 34014-th centered octagonal number.

It is an amenable number.

4627672729 is a deficient number, since it is larger than the sum of its proper divisors (83850854).

4627672729 is an frugal number, since it uses more digits than its factorization.

4627672729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 1212 counting only the distinct ones).

The product of its digits is 3556224, while the sum is 52.

The cubic root of 4627672729 is about 1666.4318054968.

The spelling of 4627672729 in words is "four billion, six hundred twenty-seven million, six hundred seventy-two thousand, seven hundred twenty-nine".