6686577072 has 120 divisors (see below), whose sum is σ = 21594403584. Its totient is φ = 1891873152.

The previous prime is 6686577049. The next prime is 6686577077. The reversal of 6686577072 is 2707756866.

6686577072 is a `hidden beast` number, since 6 + 68 + 6 + 577 + 0 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (6686577077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71623 + ... + 136025.

Almost surely, 2^6686577072 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 6686577072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10797201792).

6686577072 is an abundant number, since it is smaller than the sum of its proper divisors (14907826512).

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

6686577072 is a wasteful number, since it uses less digits than its factorization.

6686577072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64527 (or 64518 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The square root of 6686577072 is about 81771.4930278272. The cubic root of 6686577072 is about 1883.9438364801.

The spelling of 6686577072 in words is "six billion, six hundred eighty-six million, five hundred seventy-seven thousand, seventy-two".