4013760168 has 192 divisors, whose sum is σ = 12370708800. Its totient is φ = 1195845120.

The previous prime is 4013760077. The next prime is 4013760169. The reversal of 4013760168 is 8610673104.

4013760168 is a `hidden beast` number, since 40 + 1 + 3 + 7 + 601 + 6 + 8 = 666.

It is a super-2 number, since 2×4013760168² = 32220541372446776448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013760169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12661546 + ... + 12661862.

It is an arithmetic number, because the mean of its divisors is an integer number (64430775).

Almost surely, 2^4013760168 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 4013760168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6185354400).

4013760168 is an abundant number, since it is smaller than the sum of its proper divisors (8356948632).

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

4013760168 is a wasteful number, since it uses less digits than its factorization.

4013760168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4013760168 is about 63354.2434884989. The cubic root of 4013760168 is about 1589.2192108082.

The spelling of 4013760168 in words is "four billion, thirteen million, seven hundred sixty thousand, one hundred sixty-eight".