66742954026672 has 320 divisors, whose sum is σ = 228072947539968. Its totient is φ = 16282839552000.

The previous prime is 66742954026647. The next prime is 66742954026701. The reversal of 66742954026672 is 27662045924766.

It is a happy number.

66742954026672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29768797 + ... + 31932227.

Almost surely, 2^{66742954026672} 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 66742954026672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114036473769984).

66742954026672 is an abundant number, since it is smaller than the sum of its proper divisors (161329993513296).

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

66742954026672 is a wasteful number, since it uses less digits than its factorization.

66742954026672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163968 (or 2163962 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 66.

The spelling of 66742954026672 in words is "sixty-six trillion, seven hundred forty-two billion, nine hundred fifty-four million, twenty-six thousand, six hundred seventy-two".