66809014272 has 1536 divisors, whose sum is σ = 285310771200. Its totient is φ = 14863564800.

The previous prime is 66809014249. The next prime is 66809014291. The reversal of 66809014272 is 27241090866.

It is a happy number.

66809014272 is a `hidden beast` number, since 66 + 80 + 90 + 1 + 427 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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, 940971997 + ... + 940972067.

It is an arithmetic number, because the mean of its divisors is an integer number (185749200).

Almost surely, 2^66809014272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66809014272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142655385600).

66809014272 is an abundant number, since it is smaller than the sum of its proper divisors (218501756928).

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

66809014272 is a wasteful number, since it uses less digits than its factorization.

66809014272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 66809014272 in words is "sixty-six billion, eight hundred nine million, fourteen thousand, two hundred seventy-two".