8200960967824 has 45 divisors (see below), whose sum is σ = 15934164046699. Its totient is φ = 4088951098880.

The previous prime is 8200960967821. The next prime is 8200960967839. The reversal of 8200960967824 is 4287690690028.

The square root of 8200960967824 is 2863732.

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 2960670835600 + 5240290132224 = 1720660^2 + 2289168^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8200960967821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5280721032 + ... + 5280722584.

Almost surely, 2^{8200960967824} is an apocalyptic number.

8200960967824 is the 2863732-nd square number.

It is an amenable number.

8200960967824 is a deficient number, since it is larger than the sum of its proper divisors (7733203078875).

8200960967824 is an frugal number, since it uses more digits than its factorization.

8200960967824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4036 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 61.

It can be divided in two parts, 8200960 and 967824, that added together give a square (9168784 = 3028²).

The spelling of 8200960967824 in words is "eight trillion, two hundred billion, nine hundred sixty million, nine hundred sixty-seven thousand, eight hundred twenty-four".