5967643151376 has 405 divisors, whose sum is σ = 17901637459069. Its totient is φ = 1855647695616.

The previous prime is 5967643151347. The next prime is 5967643151381. The reversal of 5967643151376 is 6731513467695.

The square root of 5967643151376 is 2442876.

It is a perfect power (a square), and thus also a powerful number.

5967643151376 is a `hidden beast` number, since 5 + 9 + 6 + 7 + 6 + 43 + 1 + 513 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4302056739600 + 1665586411776 = 2074140^2 + 1290576^2 .

It is a super-2 number, since 2×5967643151376² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 35734390045 + ... + 35734390211.

Almost surely, 2^{5967643151376} is an apocalyptic number.

5967643151376 is the 2442876-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5967643151376

5967643151376 is an abundant number, since it is smaller than the sum of its proper divisors (11933994307693).

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

5967643151376 is a wasteful number, since it uses less digits than its factorization.

5967643151376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 248 counting only the distinct ones).

The product of its digits is 85730400, while the sum is 63.

The spelling of 5967643151376 in words is "five trillion, nine hundred sixty-seven billion, six hundred forty-three million, one hundred fifty-one thousand, three hundred seventy-six".