6803362141632 has 896 divisors, whose sum is σ = 24809132113920. Its totient is φ = 1786101166080.

The previous prime is 6803362141619. The next prime is 6803362141643. The reversal of 6803362141632 is 2361412633086.

6803362141632 is a `hidden beast` number, since 6 + 8 + 0 + 3 + 3 + 6 + 2 + 1 + 4 + 1 + 632 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 729734923 + ... + 729744245.

It is an arithmetic number, because the mean of its divisors is an integer number (27688763520).

Almost surely, 2^{6803362141632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6803362141632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12404566056960).

6803362141632 is an abundant number, since it is smaller than the sum of its proper divisors (18005769972288).

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

6803362141632 is a wasteful number, since it uses less digits than its factorization.

6803362141632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9478 (or 9462 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 6803362141632 in words is "six trillion, eight hundred three billion, three hundred sixty-two million, one hundred forty-one thousand, six hundred thirty-two".