6579228672 has 208 divisors, whose sum is σ = 19980797760. Its totient is φ = 2138112000.

The previous prime is 6579228661. The next prime is 6579228707. The reversal of 6579228672 is 2768229756.

6579228672 is a `hidden beast` number, since 6 + 579 + 2 + 2 + 8 + 67 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4533547 + ... + 4534997.

Almost surely, 2^6579228672 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 6579228672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9990398880).

6579228672 is an abundant number, since it is smaller than the sum of its proper divisors (13401569088).

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

6579228672 is a wasteful number, since it uses less digits than its factorization.

6579228672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1525 (or 1497 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 6579228672 is about 81112.4446185664. Note that the first 3 decimals coincide. The cubic root of 6579228672 is about 1873.8075900052.

The spelling of 6579228672 in words is "six billion, five hundred seventy-nine million, two hundred twenty-eight thousand, six hundred seventy-two".