66971484288000 has 1056 divisors, whose sum is σ = 250639190605440. Its totient is φ = 17833092710400.

The previous prime is 66971484287987. The next prime is 66971484288043. The reversal of 66971484288000 is 88248417966.

66971484288000 is a `hidden beast` number, since 6 + 6 + 9 + 71 + 484 + 2 + 8 + 80 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31694974944 + ... + 31694977056.

Almost surely, 2^{66971484288000} is an apocalyptic number.

66971484288000 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 66971484288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125319595302720).

66971484288000 is an abundant number, since it is smaller than the sum of its proper divisors (183667706317440).

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

66971484288000 is a wasteful number, since it uses less digits than its factorization.

66971484288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3182 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 66971484288000 in words is "sixty-six trillion, nine hundred seventy-one billion, four hundred eighty-four million, two hundred eighty-eight thousand".