4642605568 has 120 divisors (see below), whose sum is σ = 9891030996. Its totient is φ = 2176204800.

The previous prime is 4642605529. The next prime is 4642605571. The reversal of 4642605568 is 8655062464.

It can be written as a sum of positive squares in 2 ways, for example, as 4436625664 + 205979904 = 66608^2 + 14352^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16521588 + ... + 16521868.

Almost surely, 2^4642605568 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 4642605568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4945515498).

4642605568 is an abundant number, since it is smaller than the sum of its proper divisors (5248425428).

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

4642605568 is an equidigital number, since it uses as much as digits as its factorization.

4642605568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 46.

The square root of 4642605568 is about 68136.6683071604. The cubic root of 4642605568 is about 1668.2223267723. Note that the first 3 decimals are identical.

The spelling of 4642605568 in words is "four billion, six hundred forty-two million, six hundred five thousand, five hundred sixty-eight".