7682537084121 has 81 divisors (see below), whose sum is σ = 12168382161663. Its totient is φ = 4849434554400.

The previous prime is 7682537084093. The next prime is 7682537084137. The reversal of 7682537084121 is 1214807352867.

The square root of 7682537084121 is 2771739.

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

7682537084121 is a `hidden beast` number, since 7 + 6 + 8 + 2 + 537 + 0 + 84 + 1 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 997623413721 + 6684913670400 = 998811^2 + 2585520^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 7682537084121 - 2⁹ = 7682537083609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7682537084921) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4265705421 + ... + 4265707221.

Almost surely, 2^{7682537084121} is an apocalyptic number.

7682537084121 is the 2771739-th square number.

7682537084121 is the 1385870-th centered octagonal number.

It is an amenable number.

7682537084121 is a deficient number, since it is larger than the sum of its proper divisors (4485845077542).

7682537084121 is an frugal number, since it uses more digits than its factorization.

7682537084121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3664 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 7682537084121 in words is "seven trillion, six hundred eighty-two billion, five hundred thirty-seven million, eighty-four thousand, one hundred twenty-one".