4257816768 has 168 divisors, whose sum is σ = 12789570560. Its totient is φ = 1352609280.

The previous prime is 4257816767. The next prime is 4257816791. The reversal of 4257816768 is 8676187524.

4257816768 is a `hidden beast` number, since 4 + 2 + 578 + 1 + 6 + 7 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4257816763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1194573 + ... + 1198131.

Almost surely, 2^4257816768 is an apocalyptic number.

4257816768 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 4257816768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6394785280).

4257816768 is an abundant number, since it is smaller than the sum of its proper divisors (8531753792).

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

4257816768 is a wasteful number, since it uses less digits than its factorization.

4257816768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3675 (or 3662 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 4257816768 is about 65251.9483847034. The cubic root of 4257816768 is about 1620.7983627761.

The spelling of 4257816768 in words is "four billion, two hundred fifty-seven million, eight hundred sixteen thousand, seven hundred sixty-eight".