67666187594916 has 135 divisors (see below), whose sum is σ = 178603252254427. Its totient is φ = 22339366071120.

The previous prime is 67666187594909. The next prime is 67666187594933. The reversal of 67666187594916 is 61949578166676.

The square root of 67666187594916 is 8225946.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 15843169861 + ... + 15843174131.

Almost surely, 2^{67666187594916} is an apocalyptic number.

67666187594916 is the 8225946-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67666187594916

67666187594916 is an abundant number, since it is smaller than the sum of its proper divisors (110937064659511).

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

67666187594916 is an frugal number, since it uses more digits than its factorization.

67666187594916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8772 (or 4383 counting only the distinct ones).

The product of its digits is 4938071040, while the sum is 81.

67666187594916 divided by its sum of digits (81) gives a square (835385032036 = 913994²).

The spelling of 67666187594916 in words is "sixty-seven trillion, six hundred sixty-six billion, one hundred eighty-seven million, five hundred ninety-four thousand, nine hundred sixteen".