6133333928064 has 128 divisors (see below), whose sum is σ = 18624567828480. Its totient is φ = 1751861744640.

The previous prime is 6133333928041. The next prime is 6133333928077. The reversal of 6133333928064 is 4608293333316.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 6133333927998 and 6133333928016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8778567 + ... + 9451449.

It is an arithmetic number, because the mean of its divisors is an integer number (145504436160).

Almost surely, 2^{6133333928064} is an apocalyptic number.

6133333928064 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 6133333928064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9312283914240).

6133333928064 is an abundant number, since it is smaller than the sum of its proper divisors (12491233900416).

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

6133333928064 is a wasteful number, since it uses less digits than its factorization.

6133333928064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676298 (or 676286 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 51.

The spelling of 6133333928064 in words is "six trillion, one hundred thirty-three billion, three hundred thirty-three million, nine hundred twenty-eight thousand, sixty-four".