6781851648 has 576 divisors, whose sum is σ = 24040074240. Its totient is φ = 1813708800.

The previous prime is 6781851623. The next prime is 6781851653. The reversal of 6781851648 is 8461581876.

It is a happy number.

6781851648 is a `hidden beast` number, since 6 + 7 + 81 + 8 + 516 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 6781851594 and 6781851603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81709015 + ... + 81709097.

It is an arithmetic number, because the mean of its divisors is an integer number (41736240).

Almost surely, 2^6781851648 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 6781851648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12020037120).

6781851648 is an abundant number, since it is smaller than the sum of its proper divisors (17258222592).

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

6781851648 is a wasteful number, since it uses less digits than its factorization.

6781851648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 143 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The square root of 6781851648 is about 82351.9984456965. The cubic root of 6781851648 is about 1892.8495455496.

The spelling of 6781851648 in words is "six billion, seven hundred eighty-one million, eight hundred fifty-one thousand, six hundred forty-eight".