6820841771520 has 1920 divisors, whose sum is σ = 28026181066752. Its totient is φ = 1404606873600.

The previous prime is 6820841771483. The next prime is 6820841771533. The reversal of 6820841771520 is 251771480286.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×6820841771520² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 191 ways as a sum of consecutive naturals, for example, 32326264215 + ... + 32326264425.

Almost surely, 2^{6820841771520} is an apocalyptic number.

6820841771520 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 6820841771520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14013090533376).

6820841771520 is an abundant number, since it is smaller than the sum of its proper divisors (21205339295232).

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

6820841771520 is a wasteful number, since it uses less digits than its factorization.

6820841771520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 51.

The spelling of 6820841771520 in words is "six trillion, eight hundred twenty billion, eight hundred forty-one million, seven hundred seventy-one thousand, five hundred twenty".