66759312 has 80 divisors (see below), whose sum is σ = 184273920. Its totient is φ = 20764800.

The previous prime is 66759257. The next prime is 66759313. The reversal of 66759312 is 21395766.

It is a nialpdrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (66759313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64237 + ... + 65267.

It is an arithmetic number, because the mean of its divisors is an integer number (2303424).

Almost surely, 2^66759312 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 66759312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92136960).

66759312 is an abundant number, since it is smaller than the sum of its proper divisors (117514608).

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

66759312 is a wasteful number, since it uses less digits than its factorization.

66759312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1126 counting only the distinct ones).

The product of its digits is 68040, while the sum is 39.

The square root of 66759312 is about 8170.6371844551. The cubic root of 66759312 is about 405.6678753083.

The spelling of 66759312 in words is "sixty-six million, seven hundred fifty-nine thousand, three hundred twelve".