6781640112 has 180 divisors, whose sum is σ = 21314640984. Its totient is φ = 2086456320.

The previous prime is 6781640101. The next prime is 6781640147. The reversal of 6781640112 is 2110461876.

It is a happy number.

6781640112 is a `hidden beast` number, since 6 + 7 + 8 + 1 + 640 + 1 + 1 + 2 = 666.

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

It is an unprimeable number.

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, 651912 + ... + 662232.

Almost surely, 2^6781640112 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 6781640112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10657320492).

6781640112 is an abundant number, since it is smaller than the sum of its proper divisors (14533000872).

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

6781640112 is a wasteful number, since it uses less digits than its factorization.

6781640112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10370 (or 10339 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 6781640112 is about 82350.7140952645. The cubic root of 6781640112 is about 1892.8298650845.

The spelling of 6781640112 in words is "six billion, seven hundred eighty-one million, six hundred forty thousand, one hundred twelve".