5648745600 has 960 divisors, whose sum is σ = 23262201600. Its totient is φ = 1343692800.

The previous prime is 5648745593. The next prime is 5648745617. The reversal of 5648745600 is 65478465.

5648745600 is a `hidden beast` number, since 5 + 6 + 4 + 87 + 4 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 152668782 + ... + 152668818.

It is an arithmetic number, because the mean of its divisors is an integer number (24231460).

Almost surely, 2^5648745600 is an apocalyptic number.

5648745600 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 5648745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11631100800).

5648745600 is an abundant number, since it is smaller than the sum of its proper divisors (17613456000).

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

5648745600 is a wasteful number, since it uses less digits than its factorization.

5648745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 5648745600 is about 75158.1372839961. The cubic root of 5648745600 is about 1780.9456743249.

The spelling of 5648745600 in words is "five billion, six hundred forty-eight million, seven hundred forty-five thousand, six hundred".