66353680 has 40 divisors (see below), whose sum is σ = 156240000. Its totient is φ = 26203008.

The previous prime is 66353663. The next prime is 66353699. The reversal of 66353680 is 8635366.

66353680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1071 + ... + 11569.

It is an arithmetic number, because the mean of its divisors is an integer number (3906000).

Almost surely, 2^66353680 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 66353680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78120000).

66353680 is an abundant number, since it is smaller than the sum of its proper divisors (89886320).

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

66353680 is a wasteful number, since it uses less digits than its factorization.

66353680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10591 (or 10585 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The square root of 66353680 is about 8145.7768199233. The cubic root of 66353680 is about 404.8445880364.

The spelling of 66353680 in words is "sixty-six million, three hundred fifty-three thousand, six hundred eighty".