5648816000 has 256 divisors, whose sum is σ = 14702688000. Its totient is φ = 2156544000.

The previous prime is 5648815999. The next prime is 5648816009. The reversal of 5648816000 is 6188465.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5648816009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51823946 + ... + 51824054.

It is an arithmetic number, because the mean of its divisors is an integer number (57432375).

Almost surely, 2^5648816000 is an apocalyptic number.

5648816000 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 5648816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7351344000).

5648816000 is an abundant number, since it is smaller than the sum of its proper divisors (9053872000).

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

5648816000 is a wasteful number, since it uses less digits than its factorization.

5648816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 5648816000 is about 75158.6056283643. The cubic root of 5648816000 is about 1780.9530729029.

The spelling of 5648816000 in words is "five billion, six hundred forty-eight million, eight hundred sixteen thousand".