4800136047360 has 576 divisors, whose sum is σ = 15994755697536. Its totient is φ = 1225890201600.

The previous prime is 4800136047323. The next prime is 4800136047431. The reversal of 4800136047360 is 637406310084.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2769841054 + ... + 2769842786.

It is an arithmetic number, because the mean of its divisors is an integer number (27768673086).

Almost surely, 2^{4800136047360} is an apocalyptic number.

4800136047360 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 4800136047360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7997377848768).

4800136047360 is an abundant number, since it is smaller than the sum of its proper divisors (11194619650176).

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

4800136047360 is a wasteful number, since it uses less digits than its factorization.

4800136047360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 4800136047360 in words is "four trillion, eight hundred billion, one hundred thirty-six million, forty-seven thousand, three hundred sixty".