66229475254272 has 1792 divisors, whose sum is σ = 235537735680000. Its totient is φ = 18166248898560.

The previous prime is 66229475254247. The next prime is 66229475254277. The reversal of 66229475254272 is 27245257492266.

66229475254272 is a `hidden beast` number, since 6 + 6 + 2 + 29 + 47 + 525 + 42 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (66229475254277) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 170255720254 + ... + 170255720642.

Almost surely, 2^{66229475254272} 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 66229475254272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117768867840000).

66229475254272 is an abundant number, since it is smaller than the sum of its proper divisors (169308260425728).

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

66229475254272 is a wasteful number, since it uses less digits than its factorization.

66229475254272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 580 counting only the distinct ones).

The product of its digits is 203212800, while the sum is 63.

The spelling of 66229475254272 in words is "sixty-six trillion, two hundred twenty-nine billion, four hundred seventy-five million, two hundred fifty-four thousand, two hundred seventy-two".