4675533120 has 672 divisors, whose sum is σ = 18294400800. Its totient is φ = 1089994752.

The previous prime is 4675533047. The next prime is 4675533179. The reversal of 4675533120 is 213355764.

4675533120 is a `hidden beast` number, since 46 + 75 + 533 + 12 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 268697664 + 4406835456 = 16392^2 + 66384^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52534036 + ... + 52534124.

Almost surely, 2^4675533120 is an apocalyptic number.

4675533120 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 4675533120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9147200400).

4675533120 is an abundant number, since it is smaller than the sum of its proper divisors (13618867680).

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

4675533120 is a wasteful number, since it uses less digits than its factorization.

4675533120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 182 counting only the distinct ones).

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

The square root of 4675533120 is about 68377.8701042962. The cubic root of 4675533120 is about 1672.1569795302.

Adding to 4675533120 its reverse (213355764), we get a palindrome (4888888884).

The spelling of 4675533120 in words is "four billion, six hundred seventy-five million, five hundred thirty-three thousand, one hundred twenty".