7682259912721 has 9 divisors (see below), whose sum is σ = 7691786916849. Its totient is φ = 7672744704384.

The previous prime is 7682259912703. The next prime is 7682259912727. The reversal of 7682259912721 is 1272199522867.

The square root of 7682259912721 is 2771689.

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

It can be written as a sum of positive squares in 4 ways, for example, as 192623554321 + 7489636358400 = 438889^2 + 2736720^2 .

It is not a de Polignac number, because 7682259912721 - 2¹⁷ = 7682259781649 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7682259912721.

It is not an unprimeable number, because it can be changed into a prime (7682259912727) 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, 3594879565 + ... + 3594881701.

It is an arithmetic number, because the mean of its divisors is an integer number (854642990761).

Almost surely, 2^{7682259912721} is an apocalyptic number.

7682259912721 is the 2771689-th square number.

7682259912721 is the 1385845-th centered octagonal number.

It is an amenable number.

7682259912721 is a deficient number, since it is larger than the sum of its proper divisors (9527004128).

7682259912721 is an frugal number, since it uses more digits than its factorization.

7682259912721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6868 (or 3434 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 61.

The spelling of 7682259912721 in words is "seven trillion, six hundred eighty-two billion, two hundred fifty-nine million, nine hundred twelve thousand, seven hundred twenty-one".