6585461040 has 40 divisors (see below), whose sum is σ = 20414929968. Its totient is φ = 1756122880.

The previous prime is 6585461033. The next prime is 6585461053. The reversal of 6585461040 is 401645856.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 6585461040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13719471 + ... + 13719950.

Almost surely, 2^6585461040 is an apocalyptic number.

6585461040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6585461040 is an abundant number, since it is smaller than the sum of its proper divisors (13829468928).

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

6585461040 is a wasteful number, since it uses less digits than its factorization.

6585461040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27439437 (or 27439431 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 6585461040 is about 81150.8535999468. The cubic root of 6585461040 is about 1874.3990764068.

The spelling of 6585461040 in words is "six billion, five hundred eighty-five million, four hundred sixty-one thousand, forty".