6825072996 has 135 divisors (see below), whose sum is σ = 20198327513. Its totient is φ = 1943081280.

The previous prime is 6825072979. The next prime is 6825073007. The reversal of 6825072996 is 6992705286.

The square root of 6825072996 is 82614.

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., 4612311396 + 2212761600 = 67914^2 + 47040^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 24288376 + ... + 24288656.

Almost surely, 2^6825072996 is an apocalyptic number.

6825072996 is the 82614-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6825072996

6825072996 is an abundant number, since it is smaller than the sum of its proper divisors (13373254517).

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

6825072996 is an equidigital number, since it uses as much as digits as its factorization.

6825072996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The cubic root of 6825072996 is about 1896.8621332884.

It can be divided in two parts, 68250 and 72996, that added together give a triangular number (141246 = T₅₃₁).

The spelling of 6825072996 in words is "six billion, eight hundred twenty-five million, seventy-two thousand, nine hundred ninety-six".