7998249600 has 288 divisors, whose sum is σ = 31135328640. Its totient is φ = 1938892800.

The previous prime is 7998249593. The next prime is 7998249601. The reversal of 7998249600 is 69428997.

7998249600 is a `hidden beast` number, since 7 + 9 + 9 + 8 + 24 + 9 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (7998249601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 304177 + ... + 329423.

It is an arithmetic number, because the mean of its divisors is an integer number (108108780).

Almost surely, 2^7998249600 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 7998249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15567664320).

7998249600 is an abundant number, since it is smaller than the sum of its proper divisors (23137079040).

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

7998249600 is a wasteful number, since it uses less digits than its factorization.

7998249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25288 (or 25268 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 7998249600 is about 89432.9335312222. The cubic root of 7998249600 is about 1999.8541226935.

The spelling of 7998249600 in words is "seven billion, nine hundred ninety-eight million, two hundred forty-nine thousand, six hundred".