6820285088772 has 288 divisors, whose sum is σ = 19476368352000. Its totient is φ = 2056698362880.

The previous prime is 6820285088761. The next prime is 6820285088779. The reversal of 6820285088772 is 2778805820286.

6820285088772 is a `hidden beast` number, since 6 + 8 + 20 + 28 + 508 + 87 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (6820285088779) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 262882033 + ... + 262907975.

It is an arithmetic number, because the mean of its divisors is an integer number (67626279000).

Almost surely, 2^{6820285088772} is an apocalyptic number.

6820285088772 is a gapful number since it is divisible by the number (62) 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 6820285088772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9738184176000).

6820285088772 is an abundant number, since it is smaller than the sum of its proper divisors (12656083263228).

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

6820285088772 is a wasteful number, since it uses less digits than its factorization.

6820285088772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26184 (or 26145 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 63.

The spelling of 6820285088772 in words is "six trillion, eight hundred twenty billion, two hundred eighty-five million, eighty-eight thousand, seven hundred seventy-two".