4980096000 has 704 divisors, whose sum is σ = 20232875520. Its totient is φ = 1198080000.

The previous prime is 4980095927. The next prime is 4980096007. The reversal of 4980096000 is 6900894.

4980096000 is a `hidden beast` number, since 49 + 8 + 0 + 0 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4980096007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38015935 + ... + 38016065.

It is an arithmetic number, because the mean of its divisors is an integer number (28739880).

Almost surely, 2^4980096000 is an apocalyptic number.

4980096000 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 4980096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10116437760).

4980096000 is an abundant number, since it is smaller than the sum of its proper divisors (15252779520).

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

4980096000 is a wasteful number, since it uses less digits than its factorization.

4980096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 4980096000 is about 70569.7952384730. The cubic root of 4980096000 is about 1707.7039050738.

Adding to 4980096000 its reverse (6900894), we get a palindrome (4986996894).

The spelling of 4980096000 in words is "four billion, nine hundred eighty million, ninety-six thousand".