6173338804920 has 1536 divisors, whose sum is σ = 26630137497600. Its totient is φ = 1252106698752.

The previous prime is 6173338804907. The next prime is 6173338805041. The reversal of 6173338804920 is 294088333716.

6173338804920 is a `hidden beast` number, since 6 + 1 + 73 + 3 + 3 + 8 + 80 + 492 + 0 = 666.

It is a super-2 number, since 2×6173338804920² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5648067894 + ... + 5648068986.

It is an arithmetic number, because the mean of its divisors is an integer number (17337329100).

Almost surely, 2^{6173338804920} is an apocalyptic number.

6173338804920 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 6173338804920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13315068748800).

6173338804920 is an abundant number, since it is smaller than the sum of its proper divisors (20456798692680).

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

6173338804920 is a wasteful number, since it uses less digits than its factorization.

6173338804920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 6173338804920 in words is "six trillion, one hundred seventy-three billion, three hundred thirty-eight million, eight hundred four thousand, nine hundred twenty".