7466889618721 has 135 divisors (see below), whose sum is σ = 9172306322991. Its totient is φ = 6077040780096.

The previous prime is 7466889618707. The next prime is 7466889618733. The reversal of 7466889618721 is 1278169886647.

The square root of 7466889618721 is 2732561.

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

It can be written as a sum of positive squares in 7 ways, for example, as 5999486878225 + 1467402740496 = 2449385^2 + 1211364^2 .

It is a de Polignac number, because none of the positive numbers 2^k-7466889618721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7466889618791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 201807827515 + ... + 201807827551.

Almost surely, 2^{7466889618721} is an apocalyptic number.

7466889618721 is the 2732561-st square number.

7466889618721 is the 1366281-st centered octagonal number.

It is an amenable number.

7466889618721 is a deficient number, since it is larger than the sum of its proper divisors (1705416704270).

7466889618721 is an frugal number, since it uses more digits than its factorization.

7466889618721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 92 counting only the distinct ones).

The product of its digits is 390168576, while the sum is 73.

The spelling of 7466889618721 in words is "seven trillion, four hundred sixty-six billion, eight hundred eighty-nine million, six hundred eighteen thousand, seven hundred twenty-one".