4365688320 has 480 divisors, whose sum is σ = 18053085600. Its totient is φ = 997097472.

The previous prime is 4365688319. The next prime is 4365688381. The reversal of 4365688320 is 238865634.

It is a happy number.

4365688320 is a `hidden beast` number, since 4 + 3 + 6 + 568 + 83 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3386236 + ... + 3387524.

It is an arithmetic number, because the mean of its divisors is an integer number (37610595).

Almost surely, 2^4365688320 is an apocalyptic number.

4365688320 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 4365688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9026542800).

4365688320 is an abundant number, since it is smaller than the sum of its proper divisors (13687397280).

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

4365688320 is a wasteful number, since it uses less digits than its factorization.

4365688320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 4365688320 is about 66073.3555981532. The cubic root of 4365688320 is about 1634.3719833649.

The spelling of 4365688320 in words is "four billion, three hundred sixty-five million, six hundred eighty-eight thousand, three hundred twenty".