4157513568 has 180 divisors, whose sum is σ = 13241425428. Its totient is φ = 1279100160.

The previous prime is 4157513543. The next prime is 4157513669. The reversal of 4157513568 is 8653157514.

4157513568 is a `hidden beast` number, since 4 + 1 + 5 + 75 + 13 + 568 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 433303 + ... + 442793.

Almost surely, 2^4157513568 is an apocalyptic number.

4157513568 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 4157513568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6620712714).

4157513568 is an abundant number, since it is smaller than the sum of its proper divisors (9083911860).

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

4157513568 is a wasteful number, since it uses less digits than its factorization.

4157513568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9539 (or 9509 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The square root of 4157513568 is about 64478.7838594991. The cubic root of 4157513568 is about 1607.9698145369.

The spelling of 4157513568 in words is "four billion, one hundred fifty-seven million, five hundred thirteen thousand, five hundred sixty-eight".