6679660006656 has 1296 divisors, whose sum is σ = 24612920841600. Its totient is φ = 1705084452864.

The previous prime is 6679660006571. The next prime is 6679660006717. The reversal of 6679660006656 is 6566000669766.

It is a super-4 number, since 4×6679660006656⁴ (a number of 52 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 6679660006593 and 6679660006602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11739296740 + ... + 11739297308.

Almost surely, 2^{6679660006656} 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 6679660006656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12306460420800).

6679660006656 is an abundant number, since it is smaller than the sum of its proper divisors (17933260834944).

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

6679660006656 is a wasteful number, since it uses less digits than its factorization.

6679660006656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 63.

The spelling of 6679660006656 in words is "six trillion, six hundred seventy-nine billion, six hundred sixty million, six thousand, six hundred fifty-six".