5807543040 has 648 divisors, whose sum is σ = 23049084240. Its totient is φ = 1345683456.

The previous prime is 5807543029. The next prime is 5807543081. The reversal of 5807543040 is 403457085.

5807543040 is a `hidden beast` number, since 580 + 7 + 5 + 4 + 30 + 40 = 666.

It is a super-2 number, since 2×5807543040² = 67455112322904883200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5807542986 and 5807543004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36990642 + ... + 36990798.

Almost surely, 2^5807543040 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 5807543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11524542120).

5807543040 is an abundant number, since it is smaller than the sum of its proper divisors (17241541200).

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

5807543040 is a wasteful number, since it uses less digits than its factorization.

5807543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 5807543040 is about 76207.2374515702. The cubic root of 5807543040 is about 1797.4803264115.

The spelling of 5807543040 in words is "five billion, eight hundred seven million, five hundred forty-three thousand, forty".