6166435968 has 288 divisors, whose sum is σ = 22520412720. Its totient is φ = 1601510400.

The previous prime is 6166435949. The next prime is 6166435991. The reversal of 6166435968 is 8695346616.

6166435968 is a `hidden beast` number, since 6 + 1 + 6 + 6 + 43 + 596 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 615963 + ... + 625893.

Almost surely, 2^6166435968 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 6166435968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11260206360).

6166435968 is an abundant number, since it is smaller than the sum of its proper divisors (16353976752).

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

6166435968 is a wasteful number, since it uses less digits than its factorization.

6166435968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9976 (or 9954 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 6166435968 is about 78526.6576902392. The cubic root of 6166435968 is about 1833.7694871794.

The spelling of 6166435968 in words is "six billion, one hundred sixty-six million, four hundred thirty-five thousand, nine hundred sixty-eight".