6894946800 has 900 divisors, whose sum is σ = 29746540296. Its totient is φ = 1524096000.

The previous prime is 6894946789. The next prime is 6894946801. The reversal of 6894946800 is 86494986.

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-3 number, since 3×6894946800³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6894946801) by changing a digit.

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 179 ways as a sum of consecutive naturals, for example, 68266750 + ... + 68266850.

Almost surely, 2^6894946800 is an apocalyptic number.

6894946800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6894946800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14873270148).

6894946800 is an abundant number, since it is smaller than the sum of its proper divisors (22851593496).

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

6894946800 is a wasteful number, since it uses less digits than its factorization.

6894946800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 6894946800 is about 83035.8163686008. The cubic root of 6894946800 is about 1903.3134058422.

The spelling of 6894946800 in words is "six billion, eight hundred ninety-four million, nine hundred forty-six thousand, eight hundred".