7681646025 has 27 divisors (see below), whose sum is σ = 13761036679. Its totient is φ = 4096176720.

The previous prime is 7681645997. The next prime is 7681646029. The reversal of 7681646025 is 5206461867.

The square root of 7681646025 is 87645.

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

It can be written as a sum of positive squares in only one way, i.e., 2765392569 + 4916253456 = 52587^2 + 70116^2 .

It is not a de Polignac number, because 7681646025 - 2⁹ = 7681645513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7681646029) 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 26 ways as a sum of consecutive naturals, for example, 1311754 + ... + 1317596.

Almost surely, 2^7681646025 is an apocalyptic number.

7681646025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7681646025 is the 87645-th square number.

7681646025 is the 43823-rd centered octagonal number.

It is an amenable number.

7681646025 is a deficient number, since it is larger than the sum of its proper divisors (6079390654).

7681646025 is an frugal number, since it uses more digits than its factorization.

7681646025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11702 (or 5851 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The cubic root of 7681646025 is about 1973.1106024070.

The spelling of 7681646025 in words is "seven billion, six hundred eighty-one million, six hundred forty-six thousand, twenty-five".