6585630720 has 240 divisors, whose sum is σ = 21339967488. Its totient is φ = 1734082560.

The previous prime is 6585630719. The next prime is 6585630769. The reversal of 6585630720 is 270365856.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31211415 + ... + 31211625.

Almost surely, 2^6585630720 is an apocalyptic number.

6585630720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6585630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10669983744).

6585630720 is an abundant number, since it is smaller than the sum of its proper divisors (14754336768).

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

6585630720 is a wasteful number, since it uses less digits than its factorization.

6585630720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 6585630720 is about 81151.8990535650. The cubic root of 6585630720 is about 1874.4151747636.

The spelling of 6585630720 in words is "six billion, five hundred eighty-five million, six hundred thirty thousand, seven hundred twenty".