5645352960 has 720 divisors, whose sum is σ = 22900200960. Its totient is φ = 1274019840.

The previous prime is 5645352953. The next prime is 5645352989. The reversal of 5645352960 is 692535465.

5645352960 is a `hidden beast` number, since 5 + 64 + 5 + 3 + 529 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182108145 + ... + 182108175.

Almost surely, 2^5645352960 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 5645352960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11450100480).

5645352960 is an abundant number, since it is smaller than the sum of its proper divisors (17254848000).

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

5645352960 is a wasteful number, since it uses less digits than its factorization.

5645352960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The square root of 5645352960 is about 75135.5638828910. The cubic root of 5645352960 is about 1780.5890572400.

The spelling of 5645352960 in words is "five billion, six hundred forty-five million, three hundred fifty-two thousand, nine hundred sixty".