6869094400 has 351 divisors, whose sum is σ = 20364210279. Its totient is φ = 2291466240.

The previous prime is 6869094343. The next prime is 6869094403. The reversal of 6869094400 is 44909686.

The square root of 6869094400 is 82880.

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 652087296 + 6217007104 = 25536^2 + 78848^2 .

It is a super-2 number, since 2×6869094400² = 94368915752222720000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6869094403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 185651182 + ... + 185651218.

Almost surely, 2^6869094400 is an apocalyptic number.

6869094400 is the 82880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6869094400

6869094400 is an abundant number, since it is smaller than the sum of its proper divisors (13495115879).

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

6869094400 is an equidigital number, since it uses as much as digits as its factorization.

6869094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The cubic root of 6869094400 is about 1900.9316206892.

The spelling of 6869094400 in words is "six billion, eight hundred sixty-nine million, ninety-four thousand, four hundred".