5989464000 has 784 divisors, whose sum is σ = 24253057920. Its totient is φ = 1455667200.

The previous prime is 5989463981. The next prime is 5989464007. The reversal of 5989464000 is 4649895.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 5989464000 = 540³ + 1800³ = 1395³ + 1485³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5989464007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 75815961 + ... + 75816039.

Almost surely, 2^5989464000 is an apocalyptic number.

5989464000 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 5989464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12126528960).

5989464000 is an abundant number, since it is smaller than the sum of its proper divisors (18263593920).

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

5989464000 is an equidigital number, since it uses as much as digits as its factorization.

5989464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 5989464000 is about 77391.6274541374. The cubic root of 5989464000 is about 1816.0563483974.

The spelling of 5989464000 in words is "five billion, nine hundred eighty-nine million, four hundred sixty-four thousand".