4168186560 has 224 divisors, whose sum is σ = 15478963200. Its totient is φ = 1052974080.

The previous prime is 4168186549. The next prime is 4168186577. The reversal of 4168186560 is 656818614.

4168186560 is a `hidden beast` number, since 4 + 1 + 6 + 8 + 1 + 86 + 560 = 666.

4168186560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151465 + ... + 176855.

Almost surely, 2^4168186560 is an apocalyptic number.

4168186560 is a gapful number since it is divisible by the number (40) 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 4168186560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7739481600).

4168186560 is an abundant number, since it is smaller than the sum of its proper divisors (11310776640).

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

4168186560 is a wasteful number, since it uses less digits than its factorization.

4168186560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25436 (or 25420 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 4168186560 is about 64561.4944064959. The cubic root of 4168186560 is about 1609.3446093410.

The spelling of 4168186560 in words is "four billion, one hundred sixty-eight million, one hundred eighty-six thousand, five hundred sixty".