5967456768 has 720 divisors, whose sum is σ = 22923220320. Its totient is φ = 1477066752.

The previous prime is 5967456763. The next prime is 5967456769. The reversal of 5967456768 is 8676547695.

5967456768 is a `hidden beast` number, since 5 + 9 + 6 + 7 + 4 + 567 + 68 = 666.

It is a super-2 number, since 2×5967456768² = 71221080555898011648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5967456763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55770571 + ... + 55770677.

It is an arithmetic number, because the mean of its divisors is an integer number (31837806).

Almost surely, 2^5967456768 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 5967456768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11461610160).

5967456768 is an abundant number, since it is smaller than the sum of its proper divisors (16955763552).

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

5967456768 is a wasteful number, since it uses less digits than its factorization.

5967456768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 151 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 63.

The square root of 5967456768 is about 77249.3156474541. The cubic root of 5967456768 is about 1813.8293587284.

The spelling of 5967456768 in words is "five billion, nine hundred sixty-seven million, four hundred fifty-six thousand, seven hundred sixty-eight".