5645577120 has 96 divisors (see below), whose sum is σ = 17813234880. Its totient is φ = 1502976000.

The previous prime is 5645577097. The next prime is 5645577137. The reversal of 5645577120 is 217755465.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287620 + ... + 306620.

It is an arithmetic number, because the mean of its divisors is an integer number (185554530).

Almost surely, 2^5645577120 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 5645577120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8906617440).

5645577120 is an abundant number, since it is smaller than the sum of its proper divisors (12167657760).

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

5645577120 is a wasteful number, since it uses less digits than its factorization.

5645577120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19638 (or 19630 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 42.

The square root of 5645577120 is about 75137.0555718016. The cubic root of 5645577120 is about 1780.6126242081.

The spelling of 5645577120 in words is "five billion, six hundred forty-five million, five hundred seventy-seven thousand, one hundred twenty".