66612272832 has 448 divisors, whose sum is σ = 231917199360. Its totient is φ = 18353599488.

The previous prime is 66612272803. The next prime is 66612272849. The reversal of 66612272832 is 23827221666.

It is a tau number, because it is divible by the number of its divisors (448).

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

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 63 ways as a sum of consecutive naturals, for example, 43169853 + ... + 43171395.

It is an arithmetic number, because the mean of its divisors is an integer number (517672320).

Almost surely, 2^66612272832 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 66612272832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115958599680).

66612272832 is an abundant number, since it is smaller than the sum of its proper divisors (165304926528).

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

66612272832 is a wasteful number, since it uses less digits than its factorization.

66612272832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1681 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 66612272832 in words is "sixty-six billion, six hundred twelve million, two hundred seventy-two thousand, eight hundred thirty-two".