6113864064 has 384 divisors, whose sum is σ = 20874585600. Its totient is φ = 1567641600.

The previous prime is 6113864063. The next prime is 6113864069. The reversal of 6113864064 is 4604683116.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6113864063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22560249 + ... + 22560519.

It is an arithmetic number, because the mean of its divisors is an integer number (54360900).

Almost surely, 2^6113864064 is an apocalyptic number.

6113864064 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 6113864064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10437292800).

6113864064 is an abundant number, since it is smaller than the sum of its proper divisors (14760721536).

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

6113864064 is a wasteful number, since it uses less digits than its factorization.

6113864064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 6113864064 is about 78191.2019603229. The cubic root of 6113864064 is about 1828.5433443975.

The spelling of 6113864064 in words is "six billion, one hundred thirteen million, eight hundred sixty-four thousand, sixty-four".