4816609920 has 192 divisors, whose sum is σ = 17248926240. Its totient is φ = 1284387840.

The previous prime is 4816609879. The next prime is 4816609921. The reversal of 4816609920 is 299066184.

It is a happy number.

4816609920 is a `hidden beast` number, since 4 + 8 + 16 + 609 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×4816609920² = 46399462242884812800, which contains 22 as substring.

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 (4816609921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140035 + ... + 171005.

Almost surely, 2^4816609920 is an apocalyptic number.

4816609920 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 4816609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8624463120).

4816609920 is an abundant number, since it is smaller than the sum of its proper divisors (12432316320).

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

4816609920 is an equidigital number, since it uses as much as digits as its factorization.

4816609920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31005 (or 30981 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 4816609920 is about 69401.8005530116. The cubic root of 4816609920 is about 1688.8088334886.

The spelling of 4816609920 in words is "four billion, eight hundred sixteen million, six hundred nine thousand, nine hundred twenty".