6781221876 has 144 divisors (see below), whose sum is σ = 19050494400. Its totient is φ = 1864389120.

The previous prime is 6781221827. The next prime is 6781221893.

6781221876 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1110640 + ... + 1116728.

It is an arithmetic number, because the mean of its divisors is an integer number (132295100).

Almost surely, 2^6781221876 is an apocalyptic number.

6781221876 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 6781221876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9525247200).

6781221876 is an abundant number, since it is smaller than the sum of its proper divisors (12269272524).

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

6781221876 is a wasteful number, since it uses less digits than its factorization.

6781221876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6190 (or 6177 counting only the distinct ones).

The product of its digits is 451584, while the sum is 48.

The square root of 6781221876 is about 82348.1746974394. The cubic root of 6781221876 is about 1892.7909528718.

The spelling of 6781221876 in words is "six billion, seven hundred eighty-one million, two hundred twenty-one thousand, eight hundred seventy-six".