6082580096064 has 168 divisors, whose sum is σ = 17500154163960. Its totient is φ = 2019915988992.

The previous prime is 6082580096063. The next prime is 6082580096101. The reversal of 6082580096064 is 4606900852806.

It is a happy number.

6082580096064 is a `hidden beast` number, since 6 + 0 + 8 + 25 + 8 + 0 + 0 + 9 + 606 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 697358606400 + 5385221489664 = 835080^2 + 2320608^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6082580096064.

It is not an unprimeable number, because it can be changed into a prime (6082580096063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229544064 + ... + 229570560.

Almost surely, 2^{6082580096064} is an apocalyptic number.

6082580096064 is a gapful number since it is divisible by the number (64) 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 6082580096064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8750077081980).

6082580096064 is an abundant number, since it is smaller than the sum of its proper divisors (11417574067896).

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

6082580096064 is a wasteful number, since it uses less digits than its factorization.

6082580096064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27997 (or 27984 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 6082580096064 in words is "six trillion, eighty-two billion, five hundred eighty million, ninety-six thousand, sixty-four".