6783663876 has 96 divisors (see below), whose sum is σ = 17892403200. Its totient is φ = 1981499520.

The previous prime is 6783663857. The next prime is 6783663923.

6783663876 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3287221 + ... + 3289283.

It is an arithmetic number, because the mean of its divisors is an integer number (186379200).

Almost surely, 2^6783663876 is an apocalyptic number.

6783663876 is a gapful number since it is divisible by the number (66) 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 6783663876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8946201600).

6783663876 is an abundant number, since it is smaller than the sum of its proper divisors (11108739324).

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

6783663876 is a wasteful number, since it uses less digits than its factorization.

6783663876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2969 (or 2967 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 60.

The square root of 6783663876 is about 82363.0006495635. Note that the first 3 decimals coincide. The cubic root of 6783663876 is about 1893.0181312411.

The spelling of 6783663876 in words is "six billion, seven hundred eighty-three million, six hundred sixty-three thousand, eight hundred seventy-six".