6892320400 has 135 divisors (see below), whose sum is σ = 19294814811. Its totient is φ = 2359096320.

The previous prime is 6892320389. The next prime is 6892320419. The reversal of 6892320400 is 40232986.

The square root of 6892320400 is 83020.

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 4648336 + 6887672064 = 2156^2 + 82992^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11622504 + ... + 11623096.

Almost surely, 2^6892320400 is an apocalyptic number.

6892320400 is the 83020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6892320400

6892320400 is an abundant number, since it is smaller than the sum of its proper divisors (12402494411).

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

6892320400 is an equidigital number, since it uses as much as digits as its factorization.

6892320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The cubic root of 6892320400 is about 1903.0717072319.

Multiplying 6892320400 by its product of nonzero digits (20736), we get a square (142919155814400 = 11954880²).

The spelling of 6892320400 in words is "six billion, eight hundred ninety-two million, three hundred twenty thousand, four hundred".