6810945120 has 216 divisors, whose sum is σ = 27037299744. Its totient is φ = 1556771328.

The previous prime is 6810945083. The next prime is 6810945121. The reversal of 6810945120 is 215490186.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6810945121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22297 + ... + 118823.

It is an arithmetic number, because the mean of its divisors is an integer number (125172684).

Almost surely, 2^6810945120 is an apocalyptic number.

6810945120 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 6810945120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13518649872).

6810945120 is an abundant number, since it is smaller than the sum of its proper divisors (20226354624).

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

6810945120 is a wasteful number, since it uses less digits than its factorization.

6810945120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96562 (or 96544 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 6810945120 is about 82528.4503671310. The cubic root of 6810945120 is about 1895.5523966091.

The spelling of 6810945120 in words is "six billion, eight hundred ten million, nine hundred forty-five thousand, one hundred twenty".