7628417517681 has 9 divisors (see below), whose sum is σ = 11018837271819. Its totient is φ = 5085606154536.

The previous prime is 7628417517559. The next prime is 7628417517697. The reversal of 7628417517681 is 1867157148267.

The square root of 7628417517681 is 2761959.

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

7628417517681 is a `hidden beast` number, since 7 + 6 + 28 + 4 + 17 + 517 + 6 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3472054589025 + 4156362928656 = 1863345^2 + 2038716^2 .

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

It is not a de Polignac number, because 7628417517681 - 2²¹ = 7628415420529 is a prime.

It is a super-3 number, since 3×7628417517681³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (7628417517781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7825551 + ... + 8746203.

Almost surely, 2^{7628417517681} is an apocalyptic number.

7628417517681 is the 2761959-th square number.

7628417517681 is the 1380980-th centered octagonal number.

It is an amenable number.

7628417517681 is a deficient number, since it is larger than the sum of its proper divisors (3390419754138).

7628417517681 is an frugal number, since it uses more digits than its factorization.

7628417517681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841312 (or 920656 counting only the distinct ones).

The product of its digits is 31610880, while the sum is 63.

The spelling of 7628417517681 in words is "seven trillion, six hundred twenty-eight billion, four hundred seventeen million, five hundred seventeen thousand, six hundred eighty-one".