66164670 has 192 divisors, whose sum is σ = 208039104. Its totient is φ = 14376960.

The previous prime is 66164653. The next prime is 66164671. The reversal of 66164670 is 7646166.

66164670 is a `hidden beast` number, since 6 + 6 + 1 + 646 + 7 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66164671) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 682062 + ... + 682158.

It is an arithmetic number, because the mean of its divisors is an integer number (1083537).

Almost surely, 2^66164670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66164670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104019552).

66164670 is an abundant number, since it is smaller than the sum of its proper divisors (141874434).

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

66164670 is a wasteful number, since it uses less digits than its factorization.

66164670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 66164670 is about 8134.1668288768. The cubic root of 66164670 is about 404.4598193905.

The spelling of 66164670 in words is "sixty-six million, one hundred sixty-four thousand, six hundred seventy".