4202661568 has 224 divisors, whose sum is σ = 10487070720. Its totient is φ = 1631646720.

The previous prime is 4202661563. The next prime is 4202661587. The reversal of 4202661568 is 8651662024.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 4202661568.

It is not an unprimeable number, because it can be changed into a prime (4202661563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18845905 + ... + 18846127.

It is an arithmetic number, because the mean of its divisors is an integer number (46817280).

Almost surely, 2^4202661568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4202661568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5243535360).

4202661568 is an abundant number, since it is smaller than the sum of its proper divisors (6284409152).

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

4202661568 is a wasteful number, since it uses less digits than its factorization.

4202661568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 4202661568 is about 64827.9381748332. The cubic root of 4202661568 is about 1613.7693875543.

The spelling of 4202661568 in words is "four billion, two hundred two million, six hundred sixty-one thousand, five hundred sixty-eight".