6846076224 has 336 divisors, whose sum is σ = 22295949312. Its totient is φ = 1992646656.

The previous prime is 6846076199. The next prime is 6846076231. The reversal of 6846076224 is 4226706486.

It is a self number, because there is not a number n which added to its sum of digits gives 6846076224.

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 47 ways as a sum of consecutive naturals, for example, 21872292 + ... + 21872604.

It is an arithmetic number, because the mean of its divisors is an integer number (66356992).

Almost surely, 2^6846076224 is an apocalyptic number.

6846076224 is a gapful number since it is divisible by the number (64) 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 6846076224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11147974656).

6846076224 is an abundant number, since it is smaller than the sum of its proper divisors (15449873088).

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

6846076224 is a wasteful number, since it uses less digits than its factorization.

6846076224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 6846076224 is about 82741.0189930001. The cubic root of 6846076224 is about 1898.8059186029.

The spelling of 6846076224 in words is "six billion, eight hundred forty-six million, seventy-six thousand, two hundred twenty-four".