6066660006720 has 336 divisors, whose sum is σ = 21723898891968. Its totient is φ = 1611475845120.

The previous prime is 6066660006709. The next prime is 6066660006721. The reversal of 6066660006720 is 276000666606.

It is a super-3 number, since 3×6066660006720³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6066660006721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19832535 + ... + 20136105.

It is an arithmetic number, because the mean of its divisors is an integer number (64654460988).

Almost surely, 2^{6066660006720} is an apocalyptic number.

6066660006720 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 6066660006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10861949445984).

6066660006720 is an abundant number, since it is smaller than the sum of its proper divisors (15657238885248).

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

6066660006720 is a wasteful number, since it uses less digits than its factorization.

6066660006720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303860 (or 303838 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 6066660006720 in words is "six trillion, sixty-six billion, six hundred sixty million, six thousand, seven hundred twenty".