6580377936 has 240 divisors, whose sum is σ = 21457912320. Its totient is φ = 1862784000.

The previous prime is 6580377889. The next prime is 6580377953. The reversal of 6580377936 is 6397730856.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1421706 + ... + 1426326.

It is an arithmetic number, because the mean of its divisors is an integer number (89407968).

Almost surely, 2^6580377936 is an apocalyptic number.

6580377936 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 6580377936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10728956160).

6580377936 is an abundant number, since it is smaller than the sum of its proper divisors (14877534384).

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

6580377936 is a wasteful number, since it uses less digits than its factorization.

6580377936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4706 (or 4697 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The square root of 6580377936 is about 81119.5286968557. The cubic root of 6580377936 is about 1873.9166896345.

The spelling of 6580377936 in words is "six billion, five hundred eighty million, three hundred seventy-seven thousand, nine hundred thirty-six".