4176668160 has 960 divisors, whose sum is σ = 18384537600. Its totient is φ = 854654976.

The previous prime is 4176668123. The next prime is 4176668191. The reversal of 4176668160 is 618666714.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88865257 + ... + 88865303.

It is an arithmetic number, because the mean of its divisors is an integer number (19150560).

Almost surely, 2^4176668160 is an apocalyptic number.

4176668160 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 4176668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9192268800).

4176668160 is an abundant number, since it is smaller than the sum of its proper divisors (14207869440).

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

4176668160 is a wasteful number, since it uses less digits than its factorization.

4176668160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4176668160 is about 64627.1472370551. The cubic root of 4176668160 is about 1610.4354569705.

The spelling of 4176668160 in words is "four billion, one hundred seventy-six million, six hundred sixty-eight thousand, one hundred sixty".