4608199920 has 160 divisors (see below), whose sum is σ = 14975541504. Its totient is φ = 1170892800.

The previous prime is 4608199889. The next prime is 4608199927. The reversal of 4608199920 is 299918064.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4608199920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4608199927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 417675 + ... + 428565.

Almost surely, 2^4608199920 is an apocalyptic number.

4608199920 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 4608199920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7487770752).

4608199920 is an abundant number, since it is smaller than the sum of its proper divisors (10367341584).

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

4608199920 is a wasteful number, since it uses less digits than its factorization.

4608199920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10991 (or 10985 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The square root of 4608199920 is about 67883.7235278089. The cubic root of 4608199920 is about 1664.0911235077.

The spelling of 4608199920 in words is "four billion, six hundred eight million, one hundred ninety-nine thousand, nine hundred twenty".