6828793332480 has 1728 divisors, whose sum is σ = 29333610528768. Its totient is φ = 1431361290240.

The previous prime is 6828793332469. The next prime is 6828793332509. The reversal of 6828793332480 is 842333978286.

It is a happy number.

6828793332480 is a `hidden beast` number, since 6 + 8 + 28 + 79 + 33 + 32 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 10620207039 + ... + 10620207681.

It is an arithmetic number, because the mean of its divisors is an integer number (16975469056).

Almost surely, 2^{6828793332480} is an apocalyptic number.

6828793332480 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 6828793332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14666805264384).

6828793332480 is an abundant number, since it is smaller than the sum of its proper divisors (22504817196288).

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

6828793332480 is a wasteful number, since it uses less digits than its factorization.

6828793332480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 6828793332480 in words is "six trillion, eight hundred twenty-eight billion, seven hundred ninety-three million, three hundred thirty-two thousand, four hundred eighty".