4500823680 has 192 divisors, whose sum is σ = 15638313600. Its totient is φ = 1192777728.

The previous prime is 4500823633. The next prime is 4500823703. The reversal of 4500823680 is 863280054.

It is a tau number, because it is divible by the number of its divisors (192).

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

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 23 ways as a sum of consecutive naturals, for example, 959581 + ... + 964259.

It is an arithmetic number, because the mean of its divisors is an integer number (81449550).

Almost surely, 2^4500823680 is an apocalyptic number.

4500823680 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 4500823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7819156800).

4500823680 is an abundant number, since it is smaller than the sum of its proper divisors (11137489920).

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

4500823680 is a wasteful number, since it uses less digits than its factorization.

4500823680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4871 (or 4856 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4500823680 is about 67088.1783923218. The cubic root of 4500823680 is about 1651.0643490960.

The spelling of 4500823680 in words is "four billion, five hundred million, eight hundred twenty-three thousand, six hundred eighty".