66759616 has 224 divisors, whose sum is σ = 187269120. Its totient is φ = 22809600.

The previous prime is 66759611. The next prime is 66759617. The reversal of 66759616 is 61695766.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66759611) 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, 2153521 + ... + 2153551.

Almost surely, 2^66759616 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 66759616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93634560).

66759616 is an abundant number, since it is smaller than the sum of its proper divisors (120509504).

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

66759616 is a wasteful number, since it uses less digits than its factorization.

66759616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 93 counting only the distinct ones).

The product of its digits is 408240, while the sum is 46.

The square root of 66759616 is about 8170.6557876342. The cubic root of 66759616 is about 405.6684910668.

The spelling of 66759616 in words is "sixty-six million, seven hundred fifty-nine thousand, six hundred sixteen".