4503975840 has 1152 divisors, whose sum is σ = 20958013440. Its totient is φ = 886837248.

The previous prime is 4503975797. The next prime is 4503975841. The reversal of 4503975840 is 485793054.

4503975840 is a `hidden beast` number, since 4 + 503 + 97 + 58 + 4 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4503975841) 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, 67223487 + ... + 67223553.

It is an arithmetic number, because the mean of its divisors is an integer number (18192720).

Almost surely, 2^4503975840 is an apocalyptic number.

4503975840 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 4503975840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10479006720).

4503975840 is an abundant number, since it is smaller than the sum of its proper divisors (16454037600).

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

4503975840 is a wasteful number, since it uses less digits than its factorization.

4503975840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 4503975840 is about 67111.6669439823. Note that the first 3 decimals coincide. The cubic root of 4503975840 is about 1651.4497011164.

The spelling of 4503975840 in words is "four billion, five hundred three million, nine hundred seventy-five thousand, eight hundred forty".