4369680000 has 960 divisors, whose sum is σ = 19564987200. Its totient is φ = 940032000.

The previous prime is 4369679987. The next prime is 4369680031. The reversal of 4369680000 is 869634.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 257039992 + ... + 257040008.

It is an arithmetic number, because the mean of its divisors is an integer number (20380195).

Almost surely, 2^4369680000 is an apocalyptic number.

4369680000 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 4369680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9782493600).

4369680000 is an abundant number, since it is smaller than the sum of its proper divisors (15195307200).

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

4369680000 is an equidigital number, since it uses as much as digits as its factorization.

4369680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4369680000 is about 66103.5551237602. Note that the first 3 decimals coincide. The cubic root of 4369680000 is about 1634.8699500970.

The spelling of 4369680000 in words is "four billion, three hundred sixty-nine million, six hundred eighty thousand".