4259640168 has 192 divisors, whose sum is σ = 13562640000. Its totient is φ = 1207196928.

The previous prime is 4259640167. The next prime is 4259640193. The reversal of 4259640168 is 8610469524.

4259640168 is a `hidden beast` number, since 4 + 2 + 596 + 40 + 16 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (4259640163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3382723 + ... + 3383981.

It is an arithmetic number, because the mean of its divisors is an integer number (70638750).

Almost surely, 2^4259640168 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 4259640168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6781320000).

4259640168 is an abundant number, since it is smaller than the sum of its proper divisors (9302999832).

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

4259640168 is a wasteful number, since it uses less digits than its factorization.

4259640168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4259640168 is about 65265.9188857401. The cubic root of 4259640168 is about 1621.0296974499.

The spelling of 4259640168 in words is "four billion, two hundred fifty-nine million, six hundred forty thousand, one hundred sixty-eight".