6582427551840 has 960 divisors, whose sum is σ = 26286154352640. Its totient is φ = 1379245916160.

The previous prime is 6582427551829. The next prime is 6582427551841. The reversal of 6582427551840 is 481557242856.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6582427551841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 678805872 + ... + 678815568.

It is an arithmetic number, because the mean of its divisors is an integer number (27381410784).

Almost surely, 2^{6582427551840} is an apocalyptic number.

6582427551840 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 6582427551840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13143077176320).

6582427551840 is an abundant number, since it is smaller than the sum of its proper divisors (19703726800800).

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

6582427551840 is a wasteful number, since it uses less digits than its factorization.

6582427551840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9793 (or 9764 counting only the distinct ones).

The product of its (nonzero) digits is 21504000, while the sum is 57.

The spelling of 6582427551840 in words is "six trillion, five hundred eighty-two billion, four hundred twenty-seven million, five hundred fifty-one thousand, eight hundred forty".