66969614160 has 640 divisors, whose sum is σ = 246423513600. Its totient is φ = 16899176448.

The previous prime is 66969614113. The next prime is 66969614183. The reversal of 66969614160 is 6141696966.

66969614160 is a `hidden beast` number, since 6 + 6 + 9 + 6 + 9 + 614 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 66969614097 and 66969614106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 339947182 + ... + 339947378.

It is an arithmetic number, because the mean of its divisors is an integer number (385036740).

Almost surely, 2^66969614160 is an apocalyptic number.

66969614160 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 66969614160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123211756800).

66969614160 is an abundant number, since it is smaller than the sum of its proper divisors (179453899440).

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

66969614160 is a wasteful number, since it uses less digits than its factorization.

66969614160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 66969614160 in words is "sixty-six billion, nine hundred sixty-nine million, six hundred fourteen thousand, one hundred sixty".