66777666144 has 192 divisors, whose sum is σ = 202378176000. Its totient is φ = 18885500928.

The previous prime is 66777666143. The next prime is 66777666157. The reversal of 66777666144 is 44166677766.

It is a super-3 number, since 3×66777666144³ (a number of 33 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66777666143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33742147 + ... + 33744125.

It is an arithmetic number, because the mean of its divisors is an integer number (1054053000).

Almost surely, 2^66777666144 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 66777666144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101189088000).

66777666144 is an abundant number, since it is smaller than the sum of its proper divisors (135600509856).

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

66777666144 is a wasteful number, since it uses less digits than its factorization.

66777666144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2485 (or 2477 counting only the distinct ones).

The product of its digits is 42674688, while the sum is 60.

The spelling of 66777666144 in words is "sixty-six billion, seven hundred seventy-seven million, six hundred sixty-six thousand, one hundred forty-four".