6847441920 has 880 divisors, whose sum is σ = 28533542400. Its totient is φ = 1552711680.

The previous prime is 6847441907. The next prime is 6847441927. The reversal of 6847441920 is 291447486.

It is a tau number, because it is divible by the number of its divisors (880).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6847441927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 86676441 + ... + 86676519.

It is an arithmetic number, because the mean of its divisors is an integer number (32424480).

Almost surely, 2^6847441920 is an apocalyptic number.

6847441920 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 6847441920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14266771200).

6847441920 is an abundant number, since it is smaller than the sum of its proper divisors (21686100480).

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

6847441920 is a wasteful number, since it uses less digits than its factorization.

6847441920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 6847441920 is about 82749.2714167321. The cubic root of 6847441920 is about 1898.9321719071.

The spelling of 6847441920 in words is "six billion, eight hundred forty-seven million, four hundred forty-one thousand, nine hundred twenty".