5873664000 has 272 divisors, whose sum is σ = 19629192960. Its totient is φ = 1559756800.

The previous prime is 5873663981. The next prime is 5873664001. The reversal of 5873664000 is 4663785.

It is a self number, because there is not a number n which added to its sum of digits gives 5873664000.

It is not an unprimeable number, because it can be changed into a prime (5873664001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24575881 + ... + 24576119.

Almost surely, 2^5873664000 is an apocalyptic number.

5873664000 is a gapful number since it is divisible by the number (50) 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 5873664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9814596480).

5873664000 is an abundant number, since it is smaller than the sum of its proper divisors (13755528960).

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

5873664000 is an frugal number, since it uses more digits than its factorization.

5873664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 5873664000 is about 76639.8329852042. The cubic root of 5873664000 is about 1804.2762526323.

The spelling of 5873664000 in words is "five billion, eight hundred seventy-three million, six hundred sixty-four thousand".