4610644740 has 480 divisors, whose sum is σ = 16427219424. Its totient is φ = 1074954240.

The previous prime is 4610644711. The next prime is 4610644799. The reversal of 4610644740 is 474460164.

4610644740 is a `hidden beast` number, since 4 + 6 + 1 + 0 + 644 + 7 + 4 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2183505984 + 2427138756 = 46728^2 + 49266^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4610644695 and 4610644704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 47532372 + ... + 47532468.

Almost surely, 2^4610644740 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 4610644740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8213609712).

4610644740 is an abundant number, since it is smaller than the sum of its proper divisors (11816574684).

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

4610644740 is a wasteful number, since it uses less digits than its factorization.

4610644740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4610644740 is about 67901.7285494265. The cubic root of 4610644740 is about 1664.3853587163.

The spelling of 4610644740 in words is "four billion, six hundred ten million, six hundred forty-four thousand, seven hundred forty".