6586419840 has 1024 divisors, whose sum is σ = 29611008000. Its totient is φ = 1200291840.

The previous prime is 6586419823. The next prime is 6586419841. The reversal of 6586419840 is 489146856.

It is not an unprimeable number, because it can be changed into a prime (6586419841) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 44204086 + ... + 44204234.

It is an arithmetic number, because the mean of its divisors is an integer number (28917000).

Almost surely, 2^6586419840 is an apocalyptic number.

6586419840 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 6586419840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14805504000).

6586419840 is an abundant number, since it is smaller than the sum of its proper divisors (23024588160).

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

6586419840 is a wasteful number, since it uses less digits than its factorization.

6586419840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The square root of 6586419840 is about 81156.7609013568. The cubic root of 6586419840 is about 1874.4900387359.

It can be divided in two parts, 6586 and 419840, that added together give a triangular number (426426 = T₉₂₃).

The spelling of 6586419840 in words is "six billion, five hundred eighty-six million, four hundred nineteen thousand, eight hundred forty".