5648180160 has 448 divisors, whose sum is σ = 22285025280. Its totient is φ = 1182781440.

The previous prime is 5648180077. The next prime is 5648180183. The reversal of 5648180160 is 610818465.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3957367 + ... + 3958793.

It is an arithmetic number, because the mean of its divisors is an integer number (49743360).

Almost surely, 2^5648180160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5648180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11142512640).

5648180160 is an abundant number, since it is smaller than the sum of its proper divisors (16636845120).

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

5648180160 is a wasteful number, since it uses less digits than its factorization.

5648180160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1504 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 5648180160 is about 75154.3755213228. The cubic root of 5648180160 is about 1780.8862480619.

The spelling of 5648180160 in words is "five billion, six hundred forty-eight million, one hundred eighty thousand, one hundred sixty".