66972941280 has 432 divisors, whose sum is σ = 266541256800. Its totient is φ = 15268829184.

The previous prime is 66972941279. The next prime is 66972941303. The reversal of 66972941280 is 8214927966.

66972941280 is a `hidden beast` number, since 66 + 97 + 2 + 9 + 412 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34361746 + ... + 34363694.

It is an arithmetic number, because the mean of its divisors is an integer number (616993650).

Almost surely, 2^66972941280 is an apocalyptic number.

66972941280 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 66972941280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133270628400).

66972941280 is an abundant number, since it is smaller than the sum of its proper divisors (199568315520).

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

66972941280 is a wasteful number, since it uses less digits than its factorization.

66972941280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2471 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 66972941280 in words is "sixty-six billion, nine hundred seventy-two million, nine hundred forty-one thousand, two hundred eighty".