6580761203232 has 144 divisors (see below), whose sum is σ = 19420379177472. Its totient is φ = 2192092035840.

The previous prime is 6580761203221. The next prime is 6580761203299. The reversal of 6580761203232 is 2323021670856.

6580761203232 is a `hidden beast` number, since 6 + 5 + 8 + 0 + 7 + 612 + 0 + 3 + 23 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11150838 + ... + 11726154.

It is an arithmetic number, because the mean of its divisors is an integer number (134863744288).

Almost surely, 2^{6580761203232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6580761203232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9710189588736).

6580761203232 is an abundant number, since it is smaller than the sum of its proper divisors (12839617974240).

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

6580761203232 is a wasteful number, since it uses less digits than its factorization.

6580761203232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576813 (or 576793 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 6580761203232 in words is "six trillion, five hundred eighty billion, seven hundred sixty-one million, two hundred three thousand, two hundred thirty-two".