4624305642 has 72 divisors (see below), whose sum is σ = 11028205188. Its totient is φ = 1399368960.

The previous prime is 4624305611. The next prime is 4624305649. The reversal of 4624305642 is 2465034264.

4624305642 is a `hidden beast` number, since 4 + 6 + 2 + 4 + 3 + 0 + 5 + 642 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4607830161 + 16475481 = 67881^2 + 4059^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4624305597 and 4624305606.

It is not an unprimeable number, because it can be changed into a prime (4624305649) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2824048 + ... + 2825684.

Almost surely, 2^4624305642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4624305642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5514102594).

4624305642 is an abundant number, since it is smaller than the sum of its proper divisors (6403899546).

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

4624305642 is a wasteful number, since it uses less digits than its factorization.

4624305642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2964 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 4624305642 is about 68002.2473305111. The cubic root of 4624305642 is about 1666.0275430951.

The spelling of 4624305642 in words is "four billion, six hundred twenty-four million, three hundred five thousand, six hundred forty-two".