4657528512 has 392 divisors, whose sum is σ = 17070421536. Its totient is φ = 1227239424.

The previous prime is 4657528507. The next prime is 4657528549. The reversal of 4657528512 is 2158257564.

4657528512 is a `hidden beast` number, since 4 + 6 + 575 + 28 + 51 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4245148 + ... + 4246244.

Almost surely, 2^4657528512 is an apocalyptic number.

4657528512 is a gapful number since it is divisible by the number (42) 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 4657528512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8535210768).

4657528512 is an abundant number, since it is smaller than the sum of its proper divisors (12412893024).

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

4657528512 is a wasteful number, since it uses less digits than its factorization.

4657528512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1122 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The square root of 4657528512 is about 68246.0878878782. The cubic root of 4657528512 is about 1670.0078300516.

The spelling of 4657528512 in words is "four billion, six hundred fifty-seven million, five hundred twenty-eight thousand, five hundred twelve".