66872691344592 has 100 divisors (see below), whose sum is σ = 221198822987296. Its totient is φ = 19106483238720.

The previous prime is 66872691344551. The next prime is 66872691344633. The reversal of 66872691344592 is 29544319627866.

66872691344592 is a `hidden beast` number, since 6 + 6 + 8 + 7 + 2 + 6 + 91 + 3 + 445 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (66872691344551) and next prime (66872691344633).

It is a super-3 number, since 3×66872691344592³ (a number of 42 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 66872691344592.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 3685655134 + ... + 3685673277.

Almost surely, 2^{66872691344592} is an apocalyptic number.

It is an amenable number.

66872691344592 is an abundant number, since it is smaller than the sum of its proper divisors (154326131642704).

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

66872691344592 is a wasteful number, since it uses less digits than its factorization.

66872691344592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7371328438 (or 7371328423 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 72.

The spelling of 66872691344592 in words is "sixty-six trillion, eight hundred seventy-two billion, six hundred ninety-one million, three hundred forty-four thousand, five hundred ninety-two".