5967116064 has 288 divisors, whose sum is σ = 20999107584. Its totient is φ = 1565153280.

The previous prime is 5967116053. The next prime is 5967116069. The reversal of 5967116064 is 4606117695.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (5967116069) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5843874 + ... + 5844894.

It is an arithmetic number, because the mean of its divisors is an integer number (72913568).

Almost surely, 2^5967116064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5967116064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10499553792).

5967116064 is an abundant number, since it is smaller than the sum of its proper divisors (15031991520).

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

5967116064 is a wasteful number, since it uses less digits than its factorization.

5967116064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 5967116064 is about 77247.1103925577. The cubic root of 5967116064 is about 1813.7948386805.

The spelling of 5967116064 in words is "five billion, nine hundred sixty-seven million, one hundred sixteen thousand, sixty-four".