6584561481000 has 128 divisors (see below), whose sum is σ = 20610752722560. Its totient is φ = 1750163328000.

The previous prime is 6584561480941. The next prime is 6584561481019. The reversal of 6584561481000 is 1841654856.

It is a super-5 number, since 5×6584561481000⁵ (a number of 65 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2653681 + ... + 4495680.

It is an arithmetic number, because the mean of its divisors is an integer number (161021505645).

Almost surely, 2^{6584561481000} is an apocalyptic number.

6584561481000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6584561481000 is an abundant number, since it is smaller than the sum of its proper divisors (14026191241560).

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

6584561481000 is a wasteful number, since it uses less digits than its factorization.

6584561481000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7149692 (or 7149678 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 6584561481000 in words is "six trillion, five hundred eighty-four billion, five hundred sixty-one million, four hundred eighty-one thousand".