4257705168 has 240 divisors, whose sum is σ = 13209710080. Its totient is φ = 1311552000.

The previous prime is 4257705167. The next prime is 4257705169. The reversal of 4257705168 is 8615077524.

It is an interprime number because it is at equal distance from previous prime (4257705167) and next prime (4257705169).

It is a super-2 number, since 2×4257705168² = 36256106595227816448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4257705161) 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, 7084068 + ... + 7084668.

Almost surely, 2^4257705168 is an apocalyptic number.

4257705168 is a gapful number since it is divisible by the number (48) 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 4257705168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604855040).

4257705168 is an abundant number, since it is smaller than the sum of its proper divisors (8952004912).

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

4257705168 is a wasteful number, since it uses less digits than its factorization.

4257705168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 4257705168 is about 65251.0932322210. The cubic root of 4257705168 is about 1620.7842019446.

The spelling of 4257705168 in words is "four billion, two hundred fifty-seven million, seven hundred five thousand, one hundred sixty-eight".