5634408960 has 480 divisors, whose sum is σ = 20976246720. Its totient is φ = 1393459200.

The previous prime is 5634408953. The next prime is 5634408961. The reversal of 5634408960 is 698044365.

5634408960 is a `hidden beast` number, since 5 + 634 + 4 + 0 + 8 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (5634408961) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 26703255 + ... + 26703465.

It is an arithmetic number, because the mean of its divisors is an integer number (43700514).

Almost surely, 2^5634408960 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 5634408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10488123360).

5634408960 is an abundant number, since it is smaller than the sum of its proper divisors (15341837760).

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

5634408960 is a wasteful number, since it uses less digits than its factorization.

5634408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 5634408960 is about 75062.7001912401. The cubic root of 5634408960 is about 1779.4377048141.

The spelling of 5634408960 in words is "five billion, six hundred thirty-four million, four hundred eight thousand, nine hundred sixty".