5645122560 has 1056 divisors, whose sum is σ = 25628308992. Its totient is φ = 1114767360.

The previous prime is 5645122559. The next prime is 5645122579. The reversal of 5645122560 is 652215465.

5645122560 is a `hidden beast` number, since 5 + 64 + 512 + 25 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 131281899 + ... + 131281941.

It is an arithmetic number, because the mean of its divisors is an integer number (24269232).

Almost surely, 2^5645122560 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 5645122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12814154496).

5645122560 is an abundant number, since it is smaller than the sum of its proper divisors (19983186432).

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

5645122560 is a wasteful number, since it uses less digits than its factorization.

5645122560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5645122560 is about 75134.0306385861. The cubic root of 5645122560 is about 1780.5648335819.

The spelling of 5645122560 in words is "five billion, six hundred forty-five million, one hundred twenty-two thousand, five hundred sixty".