6842059200 has 336 divisors, whose sum is σ = 25080894720. Its totient is φ = 1814400000.

The previous prime is 6842059199. The next prime is 6842059219. The reversal of 6842059200 is 29502486.

It is a happy number.

6842059200 is a `hidden beast` number, since 68 + 4 + 2 + 0 + 592 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10842885 + ... + 10843515.

It is an arithmetic number, because the mean of its divisors is an integer number (74645520).

Almost surely, 2^6842059200 is an apocalyptic number.

6842059200 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 6842059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12540447360).

6842059200 is an abundant number, since it is smaller than the sum of its proper divisors (18238835520).

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

6842059200 is a wasteful number, since it uses less digits than its factorization.

6842059200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6842059200 is about 82716.7407481702. The cubic root of 6842059200 is about 1898.4344629429.

The spelling of 6842059200 in words is "six billion, eight hundred forty-two million, fifty-nine thousand, two hundred".