6842685600 has 288 divisors, whose sum is σ = 25059646080. Its totient is φ = 1824249600.

The previous prime is 6842685581. The next prime is 6842685607. The reversal of 6842685600 is 65862486.

6842685600 is a `hidden beast` number, since 6 + 84 + 2 + 6 + 8 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (6842685607) 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, 1747645 + ... + 1751555.

It is an arithmetic number, because the mean of its divisors is an integer number (87012660).

Almost surely, 2^6842685600 is an apocalyptic number.

6842685600 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 6842685600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12529823040).

6842685600 is an abundant number, since it is smaller than the sum of its proper divisors (18216960480).

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

6842685600 is an equidigital number, since it uses as much as digits as its factorization.

6842685600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3952 (or 3921 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 6842685600 is about 82720.5270776245. The cubic root of 6842685600 is about 1898.4923959435.

The spelling of 6842685600 in words is "six billion, eight hundred forty-two million, six hundred eighty-five thousand, six hundred".