4163179680 has 960 divisors, whose sum is σ = 17782934400. Its totient is φ = 905748480.

The previous prime is 4163179679. The next prime is 4163179717. The reversal of 4163179680 is 869713614.

It is a happy number.

4163179680 is a `hidden beast` number, since 4 + 1 + 631 + 7 + 9 + 6 + 8 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 78550534 + ... + 78550586.

It is an arithmetic number, because the mean of its divisors is an integer number (18523890).

Almost surely, 2^4163179680 is an apocalyptic number.

4163179680 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 4163179680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8891467200).

4163179680 is an abundant number, since it is smaller than the sum of its proper divisors (13619754720).

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

4163179680 is a wasteful number, since it uses less digits than its factorization.

4163179680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 4163179680 is about 64522.7067008197. The cubic root of 4163179680 is about 1608.6999625821.

The spelling of 4163179680 in words is "four billion, one hundred sixty-three million, one hundred seventy-nine thousand, six hundred eighty".