66966657999360 has 1280 divisors, whose sum is σ = 253491359514624. Its totient is φ = 14764759252992.

The previous prime is 66966657999349. The next prime is 66966657999413. The reversal of 66966657999360 is 6399975666966.

It is a happy number.

66966657999360 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 (1280).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 90130091149 + ... + 90130091891.

Almost surely, 2^{66966657999360} is an apocalyptic number.

66966657999360 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 66966657999360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126745679757312).

66966657999360 is an abundant number, since it is smaller than the sum of its proper divisors (186524701515264).

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

66966657999360 is a wasteful number, since it uses less digits than its factorization.

66966657999360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 32141551680, while the sum is 87.

The spelling of 66966657999360 in words is "sixty-six trillion, nine hundred sixty-six billion, six hundred fifty-seven million, nine hundred ninety-nine thousand, three hundred sixty".