6803328901824 has 1344 divisors, whose sum is σ = 25890611281920. Its totient is φ = 1735274741760.

The previous prime is 6803328901813. The next prime is 6803328901847. The reversal of 6803328901824 is 4281098233086.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5731531759 + ... + 5731532945.

It is an arithmetic number, because the mean of its divisors is an integer number (19263847680).

Almost surely, 2^{6803328901824} is an apocalyptic number.

6803328901824 is a gapful number since it is divisible by the number (64) 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 6803328901824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12945305640960).

6803328901824 is an abundant number, since it is smaller than the sum of its proper divisors (19087282380096).

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

6803328901824 is a wasteful number, since it uses less digits than its factorization.

6803328901824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 6803328901824 in words is "six trillion, eight hundred three billion, three hundred twenty-eight million, nine hundred one thousand, eight hundred twenty-four".