4538753024 has 224 divisors, whose sum is σ = 10899282240. Its totient is φ = 1868562432.

The previous prime is 4538752979. The next prime is 4538753033. The reversal of 4538753024 is 4203578354.

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 15 ways as a sum of consecutive naturals, for example, 41639882 + ... + 41639990.

It is an arithmetic number, because the mean of its divisors is an integer number (48657510).

Almost surely, 2^4538753024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4538753024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5449641120).

4538753024 is an abundant number, since it is smaller than the sum of its proper divisors (6360529216).

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

4538753024 is a wasteful number, since it uses less digits than its factorization.

4538753024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 41.

The square root of 4538753024 is about 67370.2681009954. The cubic root of 4538753024 is about 1655.6893315947.

The spelling of 4538753024 in words is "four billion, five hundred thirty-eight million, seven hundred fifty-three thousand, twenty-four".