7738806260641 has 9 divisors (see below), whose sum is σ = 7749054310131. Its totient is φ = 7728571757232.

The previous prime is 7738806260621. The next prime is 7738806260659. The reversal of 7738806260641 is 1460626088377.

The square root of 7738806260641 is 2781871.

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., 7550707101025 + 188099159616 = 2747855^2 + 433704^2 .

It is not a de Polignac number, because 7738806260641 - 2¹¹ = 7738806258593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7738806260621) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2957127565 + ... + 2957130181.

It is an arithmetic number, because the mean of its divisors is an integer number (861006034459).

Almost surely, 2^{7738806260641} is an apocalyptic number.

7738806260641 is the 2781871-st square number.

7738806260641 is the 1390936-th centered octagonal number.

It is an amenable number.

7738806260641 is a deficient number, since it is larger than the sum of its proper divisors (10248049490).

7738806260641 is an frugal number, since it uses more digits than its factorization.

7738806260641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7360 (or 3680 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 58.

The spelling of 7738806260641 in words is "seven trillion, seven hundred thirty-eight billion, eight hundred six million, two hundred sixty thousand, six hundred forty-one".