7685846896896 has 729 divisors, whose sum is σ = 26613058038021. Its totient is φ = 2127024893952.

The previous prime is 7685846896873. The next prime is 7685846896913. The reversal of 7685846896896 is 6986986485867.

The square root of 7685846896896 is 2772336.

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

7685846896896 is a `hidden beast` number, since 7 + 6 + 8 + 58 + 468 + 9 + 6 + 8 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6877401350400 + 808445546496 = 2622480^2 + 899136^2 .

It is a super-3 number, since 3×7685846896896³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 34465681041 + ... + 34465681263.

Almost surely, 2^{7685846896896} is an apocalyptic number.

7685846896896 is the 2772336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7685846896896

7685846896896 is an abundant number, since it is smaller than the sum of its proper divisors (18927211141125).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7685846896896 is an equidigital number, since it uses as much as digits as its factorization.

7685846896896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 272 counting only the distinct ones).

The product of its digits is 60197437440, while the sum is 90.

The spelling of 7685846896896 in words is "seven trillion, six hundred eighty-five billion, eight hundred forty-six million, eight hundred ninety-six thousand, eight hundred ninety-six".