66272271975 has 288 divisors, whose sum is σ = 151760953344. Its totient is φ = 26892518400.

The previous prime is 66272271931. The next prime is 66272271977. The reversal of 66272271975 is 57917227266.

It is a happy number.

66272271975 is a `hidden beast` number, since 6 + 627 + 2 + 2 + 7 + 1 + 9 + 7 + 5 = 666.

It is not a de Polignac number, because 66272271975 - 2⁷ = 66272271847 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66272271977) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 166932477 + ... + 166932873.

Almost surely, 2^66272271975 is an apocalyptic number.

66272271975 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

66272271975 is an abundant number, since it is smaller than the sum of its proper divisors (85488681369).

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

66272271975 is a wasteful number, since it uses less digits than its factorization.

66272271975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 719 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 54.

The spelling of 66272271975 in words is "sixty-six billion, two hundred seventy-two million, two hundred seventy-one thousand, nine hundred seventy-five".