5806207680 has 224 divisors, whose sum is σ = 22689214464. Its totient is φ = 1225027584.

The previous prime is 5806207679. The next prime is 5806207723. The reversal of 5806207680 is 867026085.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54129 + ... + 120591.

It is an arithmetic number, because the mean of its divisors is an integer number (101291136).

Almost surely, 2^5806207680 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 5806207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11344607232).

5806207680 is an abundant number, since it is smaller than the sum of its proper divisors (16883006784).

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

5806207680 is a wasteful number, since it uses less digits than its factorization.

5806207680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66503 (or 66493 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 5806207680 is about 76198.4755753027. The cubic root of 5806207680 is about 1797.3425477040.

The spelling of 5806207680 in words is "five billion, eight hundred six million, two hundred seven thousand, six hundred eighty".