4968124704 has 144 divisors (see below), whose sum is σ = 14337715392. Its totient is φ = 1631660544.

The previous prime is 4968124703. The next prime is 4968124709. The reversal of 4968124704 is 4074218694.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4968124704.

It is not an unprimeable number, because it can be changed into a prime (4968124703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8104302 + ... + 8104914.

It is an arithmetic number, because the mean of its divisors is an integer number (99567468).

Almost surely, 2^4968124704 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 4968124704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7168857696).

4968124704 is an abundant number, since it is smaller than the sum of its proper divisors (9369590688).

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

4968124704 is a wasteful number, since it uses less digits than its factorization.

4968124704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4968124704 is about 70484.9253670599. The cubic root of 4968124704 is about 1706.3344648280.

The spelling of 4968124704 in words is "four billion, nine hundred sixty-eight million, one hundred twenty-four thousand, seven hundred four".