6580335996000 has 1344 divisors, whose sum is σ = 27643730901696. Its totient is φ = 1524344832000.

The previous prime is 6580335995977. The next prime is 6580335996049. The reversal of 6580335996000 is 6995330856.

6580335996000 is a `hidden beast` number, since 6 + 580 + 3 + 3 + 59 + 9 + 6 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 644430895 + ... + 644441105.

It is an arithmetic number, because the mean of its divisors is an integer number (20568252159).

Almost surely, 2^{6580335996000} is an apocalyptic number.

6580335996000 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 6580335996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13821865450848).

6580335996000 is an abundant number, since it is smaller than the sum of its proper divisors (21063394905696).

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

6580335996000 is a wasteful number, since it uses less digits than its factorization.

6580335996000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10284 (or 10251 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 6580335996000 in words is "six trillion, five hundred eighty billion, three hundred thirty-five million, nine hundred ninety-six thousand".