6580370016 has 288 divisors, whose sum is σ = 22289904000. Its totient is φ = 1888634880.

The previous prime is 6580369987. The next prime is 6580370021. The reversal of 6580370016 is 6100730856.

6580370016 is a `hidden beast` number, since 6 + 580 + 3 + 70 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1623160 + ... + 1627208.

It is an arithmetic number, because the mean of its divisors is an integer number (77395500).

Almost surely, 2^6580370016 is an apocalyptic number.

6580370016 is a gapful number since it is divisible by the number (66) 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 6580370016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11144952000).

6580370016 is an abundant number, since it is smaller than the sum of its proper divisors (15709533984).

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

6580370016 is a wasteful number, since it uses less digits than its factorization.

6580370016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4104 (or 4084 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 6580370016 is about 81119.4798799894. The cubic root of 6580370016 is about 1873.9159378324.

The spelling of 6580370016 in words is "six billion, five hundred eighty million, three hundred seventy thousand, sixteen".