6133364160 has 672 divisors, whose sum is σ = 25814853120. Its totient is φ = 1204346880.

The previous prime is 6133364119. The next prime is 6133364173. The reversal of 6133364160 is 614633316.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15449082 + ... + 15449478.

It is an arithmetic number, because the mean of its divisors is an integer number (38414960).

Almost surely, 2^6133364160 is an apocalyptic number.

6133364160 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 6133364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12907426560).

6133364160 is an abundant number, since it is smaller than the sum of its proper divisors (19681488960).

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

6133364160 is a wasteful number, since it uses less digits than its factorization.

6133364160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 6133364160 is about 78315.7976400675. The cubic root of 6133364160 is about 1830.4853202340.

Adding to 6133364160 its reverse (614633316), we get a palindrome (6747997476).

The spelling of 6133364160 in words is "six billion, one hundred thirty-three million, three hundred sixty-four thousand, one hundred sixty".