5658968000 has 224 divisors, whose sum is σ = 16153912320. Its totient is φ = 1923609600.

The previous prime is 5658967991. The next prime is 5658968033. The reversal of 5658968000 is 8698565.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7783637 + ... + 7784363.

It is an arithmetic number, because the mean of its divisors is an integer number (72115680).

Almost surely, 2^5658968000 is an apocalyptic number.

5658968000 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 5658968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8076956160).

5658968000 is an abundant number, since it is smaller than the sum of its proper divisors (10494944320).

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

5658968000 is a wasteful number, since it uses less digits than its factorization.

5658968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 47.

The square root of 5658968000 is about 75226.1124876196. The cubic root of 5658968000 is about 1782.0193385407.

The spelling of 5658968000 in words is "five billion, six hundred fifty-eight million, nine hundred sixty-eight thousand".