6820484244480 has 264 divisors, whose sum is σ = 23671201719672. Its totient is φ = 1815840423936.

The previous prime is 6820484244383. The next prime is 6820484244493. The reversal of 6820484244480 is 844424840286.

6820484244480 is a `hidden beast` number, since 6 + 8 + 20 + 484 + 24 + 44 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 350501889024 + 6469982355456 = 592032^2 + 2543616^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28311414 + ... + 28551306.

Almost surely, 2^{6820484244480} is an apocalyptic number.

6820484244480 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 6820484244480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11835600859836).

6820484244480 is an abundant number, since it is smaller than the sum of its proper divisors (16850717475192).

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

6820484244480 is a wasteful number, since it uses less digits than its factorization.

6820484244480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240541 (or 240520 counting only the distinct ones).

The product of its (nonzero) digits is 12582912, while the sum is 54.

It can be divided in two parts, 6820484 and 244480, that added together give a square (7064964 = 2658²).

The spelling of 6820484244480 in words is "six trillion, eight hundred twenty billion, four hundred eighty-four million, two hundred forty-four thousand, four hundred eighty".