66106689360 has 320 divisors, whose sum is σ = 222285772800. Its totient is φ = 16195147776.

The previous prime is 66106689353. The next prime is 66106689361. The reversal of 66106689360 is 6398660166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66106689361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78791821 + ... + 78792659.

It is an arithmetic number, because the mean of its divisors is an integer number (694643040).

Almost surely, 2^66106689360 is an apocalyptic number.

66106689360 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 66106689360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111142886400).

66106689360 is an abundant number, since it is smaller than the sum of its proper divisors (156179083440).

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

66106689360 is a wasteful number, since it uses less digits than its factorization.

66106689360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

It can be divided in two parts, 6610 and 6689360, that added together give a triangular number (6695970 = T₃₆₅₉).

The spelling of 66106689360 in words is "sixty-six billion, one hundred six million, six hundred eighty-nine thousand, three hundred sixty".