4533675120 has 720 divisors, whose sum is σ = 18159953760. Its totient is φ = 1009262592.

The previous prime is 4533675119. The next prime is 4533675127. The reversal of 4533675120 is 215763354.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4533675127) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 85541014 + ... + 85541066.

It is an arithmetic number, because the mean of its divisors is an integer number (25222158).

Almost surely, 2^4533675120 is an apocalyptic number.

4533675120 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 4533675120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9079976880).

4533675120 is an abundant number, since it is smaller than the sum of its proper divisors (13626278640).

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

4533675120 is a wasteful number, since it uses less digits than its factorization.

4533675120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 4533675120 is about 67332.5710187870. The cubic root of 4533675120 is about 1655.0716458732.

The spelling of 4533675120 in words is "four billion, five hundred thirty-three million, six hundred seventy-five thousand, one hundred twenty".