5648140800 has 480 divisors, whose sum is σ = 21158913600. Its totient is φ = 1475297280.

The previous prime is 5648140793. The next prime is 5648140801. The reversal of 5648140800 is 80418465.

5648140800 is a `hidden beast` number, since 5 + 648 + 1 + 4 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (5648140801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20390262 + ... + 20390538.

It is an arithmetic number, because the mean of its divisors is an integer number (44081070).

Almost surely, 2^5648140800 is an apocalyptic number.

5648140800 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 5648140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10579456800).

5648140800 is an abundant number, since it is smaller than the sum of its proper divisors (15510772800).

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

5648140800 is a wasteful number, since it uses less digits than its factorization.

5648140800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 5648140800 is about 75154.1136598656. The cubic root of 5648140800 is about 1780.8821112813.

The spelling of 5648140800 in words is "five billion, six hundred forty-eight million, one hundred forty thousand, eight hundred".