6821419860 has 120 divisors (see below), whose sum is σ = 21420528360. Its totient is φ = 1817220096.

The previous prime is 6821419819. The next prime is 6821419903. The reversal of 6821419860 is 689141286.

It can be written as a sum of positive squares in 4 ways, for example, as 4539255876 + 2282163984 = 67374^2 + 47772^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 2605272 + ... + 2607888.

It is an arithmetic number, because the mean of its divisors is an integer number (178504403).

Almost surely, 2^6821419860 is an apocalyptic number.

6821419860 is a gapful number since it is divisible by the number (60) 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 6821419860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10710264180).

6821419860 is an abundant number, since it is smaller than the sum of its proper divisors (14599108500).

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

6821419860 is a wasteful number, since it uses less digits than its factorization.

6821419860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4247 (or 4236 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 6821419860 is about 82591.8873740030. The cubic root of 6821419860 is about 1896.5236396166.

The spelling of 6821419860 in words is "six billion, eight hundred twenty-one million, four hundred nineteen thousand, eight hundred sixty".