66723694272 has 168 divisors, whose sum is σ = 198748040400. Its totient is φ = 22194902016.

The previous prime is 66723694249. The next prime is 66723694309. The reversal of 66723694272 is 27249632766.

66723694272 is a `hidden beast` number, since 6 + 6 + 7 + 2 + 369 + 4 + 272 = 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 23 ways as a sum of consecutive naturals, for example, 7911754 + ... + 7920182.

It is an arithmetic number, because the mean of its divisors is an integer number (1183024050).

Almost surely, 2^66723694272 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 66723694272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99374020200).

66723694272 is an abundant number, since it is smaller than the sum of its proper divisors (132024346128).

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

66723694272 is an equidigital number, since it uses as much as digits as its factorization.

66723694272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8965 (or 8943 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The spelling of 66723694272 in words is "sixty-six billion, seven hundred twenty-three million, six hundred ninety-four thousand, two hundred seventy-two".