7982743890625 has 63 divisors (see below), whose sum is σ = 11611008545157. Its totient is φ = 5472186300000.

The previous prime is 7982743890577. The next prime is 7982743890673. The reversal of 7982743890625 is 5260983472897.

The square root of 7982743890625 is 2825375.

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

It is an interprime number because it is at equal distance from previous prime (7982743890577) and next prime (7982743890673).

It can be written as a sum of positive squares in 10 ways, for example, as 5207747638401 + 2774996252224 = 2282049^2 + 1665832^2 .

It is not a de Polignac number, because 7982743890625 - 2¹⁷ = 7982743759553 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2472201511 + ... + 2472204739.

It is an arithmetic number, because the mean of its divisors is an integer number (184301722939).

Almost surely, 2^{7982743890625} is an apocalyptic number.

7982743890625 is the 2825375-th square number.

7982743890625 is the 1412688-th centered octagonal number.

It is an amenable number.

7982743890625 is a deficient number, since it is larger than the sum of its proper divisors (3628264654532).

7982743890625 is an frugal number, since it uses more digits than its factorization.

7982743890625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6502 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 70.

The spelling of 7982743890625 in words is "seven trillion, nine hundred eighty-two billion, seven hundred forty-three million, eight hundred ninety thousand, six hundred twenty-five".