6481687128 has 128 divisors (see below), whose sum is σ = 19009105920. Its totient is φ = 1803553920.

The previous prime is 6481687117. The next prime is 6481687129. The reversal of 6481687128 is 8217861846.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6481687129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 986751 + ... + 993297.

It is an arithmetic number, because the mean of its divisors is an integer number (148508640).

Almost surely, 2^6481687128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6481687128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9504552960).

6481687128 is an abundant number, since it is smaller than the sum of its proper divisors (12527418792).

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

6481687128 is a wasteful number, since it uses less digits than its factorization.

6481687128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6717 (or 6713 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 51.

The square root of 6481687128 is about 80508.9257660292. The cubic root of 6481687128 is about 1864.5012888831.

The spelling of 6481687128 in words is "six billion, four hundred eighty-one million, six hundred eighty-seven thousand, one hundred twenty-eight".