6580286720 has 144 divisors (see below), whose sum is σ = 18962106240. Its totient is φ = 2137300992.

The previous prime is 6580286717. The next prime is 6580286753. The reversal of 6580286720 is 276820856.

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, 150914 + ... + 189566.

Almost surely, 2^6580286720 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 6580286720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9481053120).

6580286720 is an abundant number, since it is smaller than the sum of its proper divisors (12381819520).

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

6580286720 is a wasteful number, since it uses less digits than its factorization.

6580286720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38700 (or 38686 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The square root of 6580286720 is about 81118.9664628439. The cubic root of 6580286720 is about 1873.9080309639.

The spelling of 6580286720 in words is "six billion, five hundred eighty million, two hundred eighty-six thousand, seven hundred twenty".