6580145800 has 96 divisors (see below), whose sum is σ = 16240779720. Its totient is φ = 2470809600.

The previous prime is 6580145773. The next prime is 6580145807. The reversal of 6580145800 is 85410856.

It can be written as a sum of positive squares in 12 ways, for example, as 303386724 + 6276759076 = 17418^2 + 79226^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6580145800.

It is not an unprimeable number, because it can be changed into a prime (6580145807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1429102 + ... + 1433698.

Almost surely, 2^6580145800 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 6580145800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8120389860).

6580145800 is an abundant number, since it is smaller than the sum of its proper divisors (9660633920).

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

6580145800 is a wasteful number, since it uses less digits than its factorization.

6580145800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5051 (or 5042 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The square root of 6580145800 is about 81118.0978573832. The cubic root of 6580145800 is about 1873.8946539883.

The spelling of 6580145800 in words is "six billion, five hundred eighty million, one hundred forty-five thousand, eight hundred".