66151680 has 288 divisors, whose sum is σ = 254306304. Its totient is φ = 14327808.

The previous prime is 66151663. The next prime is 66151681. The reversal of 66151680 is 8615166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66151681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 618187 + ... + 618293.

It is an arithmetic number, because the mean of its divisors is an integer number (883008).

Almost surely, 2^66151680 is an apocalyptic number.

66151680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127153152).

66151680 is an abundant number, since it is smaller than the sum of its proper divisors (188154624).

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

66151680 is a wasteful number, since it uses less digits than its factorization.

66151680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 66151680 is about 8133.3683059357. The cubic root of 66151680 is about 404.4333486828.

The spelling of 66151680 in words is "sixty-six million, one hundred fifty-one thousand, six hundred eighty".