6579343680 has 896 divisors, whose sum is σ = 27651456000. Its totient is φ = 1315012608.

The previous prime is 6579343657. The next prime is 6579343697. The reversal of 6579343680 is 863439756.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 124138534 + ... + 124138586.

It is an arithmetic number, because the mean of its divisors is an integer number (30861000).

Almost surely, 2^6579343680 is an apocalyptic number.

6579343680 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 6579343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13825728000).

6579343680 is an abundant number, since it is smaller than the sum of its proper divisors (21072112320).

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

6579343680 is a wasteful number, since it uses less digits than its factorization.

6579343680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The square root of 6579343680 is about 81113.1535572376. The cubic root of 6579343680 is about 1873.8185082865.

The spelling of 6579343680 in words is "six billion, five hundred seventy-nine million, three hundred forty-three thousand, six hundred eighty".