5734632960 has 720 divisors, whose sum is σ = 24087574368. Its totient is φ = 1234206720.

The previous prime is 5734632931. The next prime is 5734632961. The reversal of 5734632960 is 692364375.

5734632960 is a `hidden beast` number, since 5 + 7 + 3 + 4 + 632 + 9 + 6 + 0 = 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 not an unprimeable number, because it can be changed into a prime (5734632961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 154990062 + ... + 154990098.

Almost surely, 2^5734632960 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 5734632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12043787184).

5734632960 is an abundant number, since it is smaller than the sum of its proper divisors (18352941408).

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

5734632960 is a wasteful number, since it uses less digits than its factorization.

5734632960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 5734632960 is about 75727.3593887969. The cubic root of 5734632960 is about 1789.9265452624.

The spelling of 5734632960 in words is "five billion, seven hundred thirty-four million, six hundred thirty-two thousand, nine hundred sixty".