6803347057920 has 3456 divisors, whose sum is σ = 31383030497280. Its totient is φ = 1364475248640.

The previous prime is 6803347057909. The next prime is 6803347057921. The reversal of 6803347057920 is 297507433086.

6803347057920 is a `hidden beast` number, since 6 + 8 + 0 + 3 + 3 + 47 + 0 + 579 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6803347057921) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 93196535004 + ... + 93196535076.

Almost surely, 2^{6803347057920} is an apocalyptic number.

6803347057920 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 6803347057920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15691515248640).

6803347057920 is an abundant number, since it is smaller than the sum of its proper divisors (24579683439360).

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

6803347057920 is a wasteful number, since it uses less digits than its factorization.

6803347057920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 6803347057920 in words is "six trillion, eight hundred three billion, three hundred forty-seven million, fifty-seven thousand, nine hundred twenty".