66892174272 has 560 divisors, whose sum is σ = 249573848832. Its totient is φ = 17209221120.

The previous prime is 66892174267. The next prime is 66892174301. The reversal of 66892174272 is 27247129866.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45105243 + ... + 45106725.

Almost surely, 2^66892174272 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 66892174272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124786924416).

66892174272 is an abundant number, since it is smaller than the sum of its proper divisors (182681674560).

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

66892174272 is a wasteful number, since it uses less digits than its factorization.

66892174272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1619 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The spelling of 66892174272 in words is "sixty-six billion, eight hundred ninety-two million, one hundred seventy-four thousand, two hundred seventy-two".