4968848640 has 576 divisors, whose sum is σ = 19214254080. Its totient is φ = 1070530560.

The previous prime is 4968848639. The next prime is 4968848653. The reversal of 4968848640 is 468488694.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55829716 + ... + 55829804.

It is an arithmetic number, because the mean of its divisors is an integer number (33358080).

Almost surely, 2^4968848640 is an apocalyptic number.

4968848640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4968848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9607127040).

4968848640 is an abundant number, since it is smaller than the sum of its proper divisors (14245405440).

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

4968848640 is a wasteful number, since it uses less digits than its factorization.

4968848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 57.

The square root of 4968848640 is about 70490.0605759422. The cubic root of 4968848640 is about 1706.4173409651.

The spelling of 4968848640 in words is "four billion, nine hundred sixty-eight million, eight hundred forty-eight thousand, six hundred forty".