4648329504 has 288 divisors, whose sum is σ = 16874282880. Its totient is φ = 1225746432.

The previous prime is 4648329479. The next prime is 4648329527. The reversal of 4648329504 is 4059238464.

4648329504 is a `hidden beast` number, since 4 + 64 + 83 + 2 + 9 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 4648329504.

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 47 ways as a sum of consecutive naturals, for example, 704332 + ... + 710900.

It is an arithmetic number, because the mean of its divisors is an integer number (58591260).

Almost surely, 2^4648329504 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 4648329504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8437141440).

4648329504 is an abundant number, since it is smaller than the sum of its proper divisors (12225953376).

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

4648329504 is a wasteful number, since it uses less digits than its factorization.

4648329504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6614 (or 6594 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 4648329504 is about 68178.6587137060. The cubic root of 4648329504 is about 1668.9076370716.

The spelling of 4648329504 in words is "four billion, six hundred forty-eight million, three hundred twenty-nine thousand, five hundred four".