4800198000 has 640 divisors, whose sum is σ = 18198835200. Its totient is φ = 1078272000.

The previous prime is 4800197999. The next prime is 4800198043. The reversal of 4800198000 is 8910084.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 60761961 + ... + 60762039.

It is an arithmetic number, because the mean of its divisors is an integer number (28435680).

Almost surely, 2^4800198000 is an apocalyptic number.

4800198000 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 4800198000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9099417600).

4800198000 is an abundant number, since it is smaller than the sum of its proper divisors (13398637200).

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

4800198000 is a wasteful number, since it uses less digits than its factorization.

4800198000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 4800198000 is about 69283.4612299357. The cubic root of 4800198000 is about 1686.8885246829. Note that the first 3 decimals are identical.

The spelling of 4800198000 in words is "four billion, eight hundred million, one hundred ninety-eight thousand".