4213637568 has 336 divisors, whose sum is σ = 14378757120. Its totient is φ = 1154764800.

The previous prime is 4213637551. The next prime is 4213637569. The reversal of 4213637568 is 8657363124.

4213637568 is a `hidden beast` number, since 4 + 2 + 1 + 3 + 637 + 5 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4213637569) 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, 11736973 + ... + 11737331.

It is an arithmetic number, because the mean of its divisors is an integer number (42793920).

Almost surely, 2^4213637568 is an apocalyptic number.

4213637568 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 4213637568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7189378560).

4213637568 is an abundant number, since it is smaller than the sum of its proper divisors (10165119552).

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

4213637568 is a wasteful number, since it uses less digits than its factorization.

4213637568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 483 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 4213637568 is about 64912.5378336112. The cubic root of 4213637568 is about 1615.1730484535.

The spelling of 4213637568 in words is "four billion, two hundred thirteen million, six hundred thirty-seven thousand, five hundred sixty-eight".