4635961344 has 576 divisors, whose sum is σ = 16805880000. Its totient is φ = 1257209856.

The previous prime is 4635961331. The next prime is 4635961367. The reversal of 4635961344 is 4431695364.

4635961344 is a `hidden beast` number, since 4 + 6 + 3 + 596 + 13 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 4635961344.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78575587 + ... + 78575645.

It is an arithmetic number, because the mean of its divisors is an integer number (29176875).

Almost surely, 2^4635961344 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 4635961344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8402940000).

4635961344 is an abundant number, since it is smaller than the sum of its proper divisors (12169918656).

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

4635961344 is a wasteful number, since it uses less digits than its factorization.

4635961344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 100 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The square root of 4635961344 is about 68087.8942544121. The cubic root of 4635961344 is about 1667.4261262712.

The spelling of 4635961344 in words is "four billion, six hundred thirty-five million, nine hundred sixty-one thousand, three hundred forty-four".