4908680199360 has 1344 divisors, whose sum is σ = 22200800993280. Its totient is φ = 968095825920.

The previous prime is 4908680199337. The next prime is 4908680199361. The reversal of 4908680199360 is 639910868094.

It is a happy number.

4908680199360 is a `hidden beast` number, since 4 + 9 + 0 + 8 + 6 + 80 + 199 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4908680199361) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 201849922 + ... + 201874238.

It is an arithmetic number, because the mean of its divisors is an integer number (16518453120).

Almost surely, 2^{4908680199360} is an apocalyptic number.

4908680199360 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 4908680199360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11100400496640).

4908680199360 is an abundant number, since it is smaller than the sum of its proper divisors (17292120793920).

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

4908680199360 is a wasteful number, since it uses less digits than its factorization.

4908680199360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24414 (or 24401 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 4908680199360 in words is "four trillion, nine hundred eight billion, six hundred eighty million, one hundred ninety-nine thousand, three hundred sixty".