5806632960 has 208 divisors, whose sum is σ = 20645251680. Its totient is φ = 1548288000.

The previous prime is 5806632947. The next prime is 5806632983. The reversal of 5806632960 is 692366085.

It is a happy number.

5806632960 is a `hidden beast` number, since 5 + 8 + 0 + 6 + 632 + 9 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 547710 + ... + 558210.

Almost surely, 2^5806632960 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 5806632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10322625840).

5806632960 is an abundant number, since it is smaller than the sum of its proper divisors (14838618720).

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

5806632960 is a wasteful number, since it uses less digits than its factorization.

5806632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10539 (or 10511 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 5806632960 is about 76201.2661312133. The cubic root of 5806632960 is about 1797.3864291965.

The spelling of 5806632960 in words is "five billion, eight hundred six million, six hundred thirty-two thousand, nine hundred sixty".