4599006720 has 720 divisors, whose sum is σ = 18985128624. Its totient is φ = 946176000.

The previous prime is 4599006689. The next prime is 4599006721. The reversal of 4599006720 is 276009954.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4599006721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45534670 + ... + 45534770.

Almost surely, 2^4599006720 is an apocalyptic number.

4599006720 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 4599006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9492564312).

4599006720 is an abundant number, since it is smaller than the sum of its proper divisors (14386121904).

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

4599006720 is a wasteful number, since it uses less digits than its factorization.

4599006720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 4599006720 is about 67815.9768786088. The cubic root of 4599006720 is about 1662.9837853366.

The spelling of 4599006720 in words is "four billion, five hundred ninety-nine million, six thousand, seven hundred twenty".