66942369801216 has 528 divisors, whose sum is σ = 238121233144704. Its totient is φ = 17638794067968.

The previous prime is 66942369801173. The next prime is 66942369801247. The reversal of 66942369801216 is 61210896324966.

66942369801216 is a `hidden beast` number, since 6 + 6 + 9 + 423 + 6 + 9 + 80 + 121 + 6 = 666.

It is a super-3 number, since 3×66942369801216³ (a number of 42 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 919969251 + ... + 920042013.

Almost surely, 2^{66942369801216} 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 66942369801216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119060616572352).

66942369801216 is an abundant number, since it is smaller than the sum of its proper divisors (171178863343488).

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

66942369801216 is a wasteful number, since it uses less digits than its factorization.

66942369801216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73906 (or 73885 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 66942369801216 in words is "sixty-six trillion, nine hundred forty-two billion, three hundred sixty-nine million, eight hundred one thousand, two hundred sixteen".