66724195378176 has 1320 divisors, whose sum is σ = 240416209541376. Its totient is φ = 18359939727360.

The previous prime is 66724195378153. The next prime is 66724195378189. The reversal of 66724195378176 is 67187359142766.

66724195378176 is a `hidden beast` number, since 6 + 6 + 7 + 2 + 4 + 1 + 9 + 537 + 81 + 7 + 6 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 28600168306 + ... + 28600170638.

Almost surely, 2^{66724195378176} 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 66724195378176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120208104770688).

66724195378176 is an abundant number, since it is smaller than the sum of its proper divisors (173692014163200).

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

66724195378176 is a wasteful number, since it uses less digits than its factorization.

66724195378176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2637 (or 2603 counting only the distinct ones).

The product of its digits is 640120320, while the sum is 72.

The spelling of 66724195378176 in words is "sixty-six trillion, seven hundred twenty-four billion, one hundred ninety-five million, three hundred seventy-eight thousand, one hundred seventy-six".