7586680798449 has 9 divisors (see below), whose sum is σ = 10958550866809. Its totient is φ = 5057781690180.

The previous prime is 7586680798441. The next prime is 7586680798451. The reversal of 7586680798449 is 9448970866857.

The square root of 7586680798449 is 2754393.

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

7586680798449 is a `hidden beast` number, since 7 + 5 + 8 + 6 + 6 + 80 + 7 + 98 + 449 = 666.

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

It is not a de Polignac number, because 7586680798449 - 2³ = 7586680798441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7586680798441) 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, 7804114 + ... + 8722244.

Almost surely, 2^{7586680798449} is an apocalyptic number.

7586680798449 is the 2754393-rd square number.

7586680798449 is the 1377197-th centered octagonal number.

It is an amenable number.

7586680798449 is a deficient number, since it is larger than the sum of its proper divisors (3371870068360).

7586680798449 is an frugal number, since it uses more digits than its factorization.

7586680798449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836268 (or 918134 counting only the distinct ones).

The product of its (nonzero) digits is 5852528640, while the sum is 81.

Multiplying 7586680798449 by its sum of digits (81), we get a square (614521144674369 = 24789537²).

The spelling of 7586680798449 in words is "seven trillion, five hundred eighty-six billion, six hundred eighty million, seven hundred ninety-eight thousand, four hundred forty-nine".