6847113600 has 768 divisors, whose sum is σ = 27269088000. Its totient is φ = 1672151040.

The previous prime is 6847113599. The next prime is 6847113653. The reversal of 6847113600 is 63117486.

6847113600 is a `hidden beast` number, since 6 + 8 + 47 + 1 + 1 + 3 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70588752 + ... + 70588848.

It is an arithmetic number, because the mean of its divisors is an integer number (35506625).

Almost surely, 2^6847113600 is an apocalyptic number.

6847113600 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 6847113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13634544000).

6847113600 is an abundant number, since it is smaller than the sum of its proper divisors (20421974400).

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

6847113600 is a wasteful number, since it uses less digits than its factorization.

6847113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 6847113600 is about 82747.2875688382. The cubic root of 6847113600 is about 1898.9018215279.

The spelling of 6847113600 in words is "six billion, eight hundred forty-seven million, one hundred thirteen thousand, six hundred".