4685345280 has 960 divisors, whose sum is σ = 21448627200. Its totient is φ = 915701760.

The previous prime is 4685345251. The next prime is 4685345293. The reversal of 4685345280 is 825435864.

4685345280 is a `hidden beast` number, since 4 + 68 + 534 + 52 + 8 + 0 = 666.

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 (45).

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 95 ways as a sum of consecutive naturals, for example, 33707451 + ... + 33707589.

It is an arithmetic number, because the mean of its divisors is an integer number (22342320).

Almost surely, 2^4685345280 is an apocalyptic number.

4685345280 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 4685345280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10724313600).

4685345280 is an abundant number, since it is smaller than the sum of its proper divisors (16763281920).

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

4685345280 is a wasteful number, since it uses less digits than its factorization.

4685345280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The square root of 4685345280 is about 68449.5820294032. The cubic root of 4685345280 is about 1673.3259020250.

The spelling of 4685345280 in words is "four billion, six hundred eighty-five million, three hundred forty-five thousand, two hundred eighty".