6930025200 has 480 divisors, whose sum is σ = 29108613120. Its totient is φ = 1532390400.

The previous prime is 6930025103. The next prime is 6930025213. The reversal of 6930025200 is 25200396.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2342122 + ... + 2345078.

It is an arithmetic number, because the mean of its divisors is an integer number (60642944).

Almost surely, 2^6930025200 is an apocalyptic number.

6930025200 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 6930025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14554306560).

6930025200 is an abundant number, since it is smaller than the sum of its proper divisors (22178587920).

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

6930025200 is a wasteful number, since it uses less digits than its factorization.

6930025200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3022 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 6930025200 is about 83246.7729104258. The cubic root of 6930025200 is about 1906.5356827771.

Adding to 6930025200 its reverse (25200396), we get a palindrome (6955225596).

The spelling of 6930025200 in words is "six billion, nine hundred thirty million, twenty-five thousand, two hundred".