6580965440 has 112 divisors (see below), whose sum is σ = 18136819200. Its totient is φ = 2227709952.

The previous prime is 6580965437. The next prime is 6580965449. The reversal of 6580965440 is 445690856.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×6580965440² = 86618212244948787200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6580965449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158366 + ... + 195554.

Almost surely, 2^6580965440 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 6580965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9068409600).

6580965440 is an abundant number, since it is smaller than the sum of its proper divisors (11555853760).

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

6580965440 is a wasteful number, since it uses less digits than its factorization.

6580965440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37292 (or 37282 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 47.

The square root of 6580965440 is about 81123.1498402275. The cubic root of 6580965440 is about 1873.9724564815.

The spelling of 6580965440 in words is "six billion, five hundred eighty million, nine hundred sixty-five thousand, four hundred forty".