4968287207424 has 768 divisors, whose sum is σ = 15938783078400. Its totient is φ = 1546405281792.

The previous prime is 4968287207423. The next prime is 4968287207461. The reversal of 4968287207424 is 4247027828694.

4968287207424 is a `hidden beast` number, since 496 + 8 + 2 + 8 + 72 + 0 + 74 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is not an unprimeable number, because it can be changed into a prime (4968287207423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39120371649 + ... + 39120371775.

It is an arithmetic number, because the mean of its divisors is an integer number (20753623800).

Almost surely, 2^{4968287207424} 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 4968287207424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7969391539200).

4968287207424 is an abundant number, since it is smaller than the sum of its proper divisors (10970495870976).

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

4968287207424 is an frugal number, since it uses more digits than its factorization.

4968287207424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 4968287207424 in words is "four trillion, nine hundred sixty-eight billion, two hundred eighty-seven million, two hundred seven thousand, four hundred twenty-four".