6835852800 has 720 divisors, whose sum is σ = 28693922400. Its totient is φ = 1553448960.

The previous prime is 6835852789. The next prime is 6835852853. The reversal of 6835852800 is 82585386.

It is a happy number.

6835852800 is a `hidden beast` number, since 68 + 3 + 585 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39513514 + ... + 39513686.

It is an arithmetic number, because the mean of its divisors is an integer number (39852670).

Almost surely, 2^6835852800 is an apocalyptic number.

6835852800 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 6835852800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14346961200).

6835852800 is an abundant number, since it is smaller than the sum of its proper divisors (21858069600).

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

6835852800 is a wasteful number, since it uses less digits than its factorization.

6835852800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 6835852800 is about 82679.2162517280. The cubic root of 6835852800 is about 1897.8602689416.

The spelling of 6835852800 in words is "six billion, eight hundred thirty-five million, eight hundred fifty-two thousand, eight hundred".