6581415840 has 48 divisors (see below), whose sum is σ = 20731461408. Its totient is φ = 1755044096.

The previous prime is 6581415809. The next prime is 6581415857. The reversal of 6581415840 is 485141856.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 6581415792 and 6581415801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6855162 + ... + 6856121.

It is an arithmetic number, because the mean of its divisors is an integer number (431905446).

Almost surely, 2^6581415840 is an apocalyptic number.

6581415840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6581415840 is an abundant number, since it is smaller than the sum of its proper divisors (14150045568).

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

6581415840 is a wasteful number, since it uses less digits than its factorization.

6581415840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13711301 (or 13711293 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The square root of 6581415840 is about 81125.9258190623. The cubic root of 6581415840 is about 1874.0152069435.

The spelling of 6581415840 in words is "six billion, five hundred eighty-one million, four hundred fifteen thousand, eight hundred forty".