6894993600 has 1008 divisors, whose sum is σ = 29480256000. Its totient is φ = 1509580800.

The previous prime is 6894993587. The next prime is 6894993601. The reversal of 6894993600 is 63994986.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (6894993601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 87278361 + ... + 87278439.

Almost surely, 2^6894993600 is an apocalyptic number.

6894993600 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 6894993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14740128000).

6894993600 is an abundant number, since it is smaller than the sum of its proper divisors (22585262400).

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

6894993600 is a wasteful number, since it uses less digits than its factorization.

6894993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 6894993600 is about 83036.0981742278. The cubic root of 6894993600 is about 1903.3177121295.

The spelling of 6894993600 in words is "six billion, eight hundred ninety-four million, nine hundred ninety-three thousand, six hundred".