4532785920 has 864 divisors, whose sum is σ = 18749203200. Its totient is φ = 1039122432.

The previous prime is 4532785913. The next prime is 4532785921. The reversal of 4532785920 is 295872354.

4532785920 is a `hidden beast` number, since 4 + 53 + 2 + 7 + 8 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×4532785920² = 41092296393100492800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4532785921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76826851 + ... + 76826909.

Almost surely, 2^4532785920 is an apocalyptic number.

4532785920 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 4532785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9374601600).

4532785920 is an abundant number, since it is smaller than the sum of its proper divisors (14216417280).

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

4532785920 is a wasteful number, since it uses less digits than its factorization.

4532785920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 101 counting only the distinct ones).

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

The square root of 4532785920 is about 67325.9676499343. The cubic root of 4532785920 is about 1654.9634344778.

The spelling of 4532785920 in words is "four billion, five hundred thirty-two million, seven hundred eighty-five thousand, nine hundred twenty".