6842932800 has 672 divisors, whose sum is σ = 26192073600. Its totient is φ = 1548288000.

The previous prime is 6842932799. The next prime is 6842932807. The reversal of 6842932800 is 82392486.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6842932807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62779146 + ... + 62779254.

It is an arithmetic number, because the mean of its divisors is an integer number (38976300).

Almost surely, 2^6842932800 is an apocalyptic number.

6842932800 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 6842932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13096036800).

6842932800 is an abundant number, since it is smaller than the sum of its proper divisors (19349140800).

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

6842932800 is a wasteful number, since it uses less digits than its factorization.

6842932800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 6842932800 is about 82722.0212519012. The cubic root of 6842932800 is about 1898.5152574190.

The spelling of 6842932800 in words is "six billion, eight hundred forty-two million, nine hundred thirty-two thousand, eight hundred".