6820541420 has 96 divisors (see below), whose sum is σ = 18041909760. Its totient is φ = 2103920640.

The previous prime is 6820541411. The next prime is 6820541443. The reversal of 6820541420 is 241450286.

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 31 ways as a sum of consecutive naturals, for example, 126551 + ... + 172209.

It is an arithmetic number, because the mean of its divisors is an integer number (187936560).

Almost surely, 2^6820541420 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 6820541420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9020954880).

6820541420 is an abundant number, since it is smaller than the sum of its proper divisors (11221368340).

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

6820541420 is a wasteful number, since it uses less digits than its factorization.

6820541420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45783 (or 45781 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 6820541420 is about 82586.5692470634. The cubic root of 6820541420 is about 1896.4422267642.

The spelling of 6820541420 in words is "six billion, eight hundred twenty million, five hundred forty-one thousand, four hundred twenty".