7644627771664 has 45 divisors (see below), whose sum is σ = 16038753326949. Its totient is φ = 3528223383360.

The previous prime is 7644627771619. The next prime is 7644627771727. The reversal of 7644627771664 is 4661777264467.

The square root of 7644627771664 is 2764892.

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., 1130862096400 + 6513765675264 = 1063420^2 + 2552208^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7644627771664.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 143747799 + ... + 143800969.

Almost surely, 2^{7644627771664} is an apocalyptic number.

7644627771664 is the 2764892-nd square number.

It is an amenable number.

7644627771664 is an abundant number, since it is smaller than the sum of its proper divisors (8394125555285).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7644627771664 is an frugal number, since it uses more digits than its factorization.

7644627771664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106376 (or 53186 counting only the distinct ones).

The product of its digits is 398297088, while the sum is 67.

The spelling of 7644627771664 in words is "seven trillion, six hundred forty-four billion, six hundred twenty-seven million, seven hundred seventy-one thousand, six hundred sixty-four".