7630671442689 has 9 divisors (see below), whose sum is σ = 11022092943043. Its totient is φ = 5087108770392.

The previous prime is 7630671442679. The next prime is 7630671442699. The reversal of 7630671442689 is 9862441760367.

It is a happy number.

The square root of 7630671442689 is 2762367.

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

7630671442689 is a `hidden beast` number, since 7 + 63 + 0 + 6 + 71 + 4 + 426 + 89 = 666.

It is an interprime number because it is at equal distance from previous prime (7630671442679) and next prime (7630671442699).

It can be written as a sum of positive squares in only one way, i.e., 7530726943089 + 99944499600 = 2744217^2 + 316140^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 7630671442689 - 2⁴¹ = 5431648187137 is a prime.

It is a super-2 number, since 2×7630671442689² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7630671442679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7826707 + ... + 8747495.

Almost surely, 2^{7630671442689} is an apocalyptic number.

7630671442689 is the 2762367-th square number.

7630671442689 is the 1381184-th centered octagonal number.

It is an amenable number.

7630671442689 is a deficient number, since it is larger than the sum of its proper divisors (3391421500354).

7630671442689 is an frugal number, since it uses more digits than its factorization.

7630671442689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841584 (or 920792 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 7630671442689 in words is "seven trillion, six hundred thirty billion, six hundred seventy-one million, four hundred forty-two thousand, six hundred eighty-nine".