5798364000 has 768 divisors, whose sum is σ = 23247544320. Its totient is φ = 1244160000.

The previous prime is 5798363993. The next prime is 5798364059. The reversal of 5798364000 is 4638975.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53195946 + ... + 53196054.

It is an arithmetic number, because the mean of its divisors is an integer number (30270240).

Almost surely, 2^5798364000 is an apocalyptic number.

5798364000 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 5798364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11623772160).

5798364000 is an abundant number, since it is smaller than the sum of its proper divisors (17449180320).

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

5798364000 is a wasteful number, since it uses less digits than its factorization.

5798364000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 5798364000 is about 76146.9894349081. The cubic root of 5798364000 is about 1796.5328319864.

The spelling of 5798364000 in words is "five billion, seven hundred ninety-eight million, three hundred sixty-four thousand".