5648508000 has 192 divisors, whose sum is σ = 20560962240. Its totient is φ = 1506240000.

The previous prime is 5648507989. The next prime is 5648508001. The reversal of 5648508000 is 8058465.

It is a happy number.

5648508000 is a `hidden beast` number, since 5 + 648 + 5 + 0 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5648508001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 81850 + ... + 134150.

It is an arithmetic number, because the mean of its divisors is an integer number (107088345).

Almost surely, 2^5648508000 is an apocalyptic number.

5648508000 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 5648508000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10280481120).

5648508000 is an abundant number, since it is smaller than the sum of its proper divisors (14912454240).

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

5648508000 is a wasteful number, since it uses less digits than its factorization.

5648508000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52335 (or 52311 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5648508000 is about 75156.5566002062. The cubic root of 5648508000 is about 1780.9207036703.

The spelling of 5648508000 in words is "five billion, six hundred forty-eight million, five hundred eight thousand".