7386768415321 has 9 divisors (see below), whose sum is σ = 7459463581941. Its totient is φ = 7314774995292.

The previous prime is 7386768415297. The next prime is 7386768415331. The reversal of 7386768415321 is 1235148676837.

The square root of 7386768415321 is 2717861.

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

It is not a de Polignac number, because 7386768415321 - 2²⁵ = 7386734860889 is a prime.

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 7386768415321.

It is not an unprimeable number, because it can be changed into a prime (7386768415331) 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, 279926490 + ... + 279952876.

Almost surely, 2^{7386768415321} is an apocalyptic number.

7386768415321 is the 2717861-st square number.

7386768415321 is the 1358931-st centered octagonal number.

It is an amenable number.

7386768415321 is a deficient number, since it is larger than the sum of its proper divisors (72695166620).

7386768415321 is an frugal number, since it uses more digits than its factorization.

7386768415321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52980 (or 26490 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 61.

The spelling of 7386768415321 in words is "seven trillion, three hundred eighty-six billion, seven hundred sixty-eight million, four hundred fifteen thousand, three hundred twenty-one".