66477312 has 216 divisors, whose sum is σ = 217465248. Its totient is φ = 19353600.

The previous prime is 66477311. The next prime is 66477349. The reversal of 66477312 is 21377466.

66477312 is a `hidden beast` number, since 6 + 647 + 7 + 3 + 1 + 2 = 666.

66477312 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66477311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1089762 + ... + 1089822.

Almost surely, 2^66477312 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 66477312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108732624).

66477312 is an abundant number, since it is smaller than the sum of its proper divisors (150987936).

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

66477312 is a wasteful number, since it uses less digits than its factorization.

66477312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 120 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 66477312 is about 8153.3620059458. The cubic root of 66477312 is about 405.0958712223.

The spelling of 66477312 in words is "sixty-six million, four hundred seventy-seven thousand, three hundred twelve".