6806424600 has 192 divisors, whose sum is σ = 23516352000. Its totient is φ = 1809475200.

The previous prime is 6806424571. The next prime is 6806424601. The reversal of 6806424600 is 64246086.

It is a happy number.

6806424600 is a `hidden beast` number, since 6 + 8 + 0 + 6 + 42 + 4 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6806424601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1936845 + ... + 1940355.

It is an arithmetic number, because the mean of its divisors is an integer number (122481000).

Almost surely, 2^6806424600 is an apocalyptic number.

6806424600 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 6806424600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11758176000).

6806424600 is an abundant number, since it is smaller than the sum of its proper divisors (16709927400).

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

6806424600 is a wasteful number, since it uses less digits than its factorization.

6806424600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3895 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 6806424600 is about 82501.0581750319. The cubic root of 6806424600 is about 1895.1329355391.

The spelling of 6806424600 in words is "six billion, eight hundred six million, four hundred twenty-four thousand, six hundred".