66133272000 has 448 divisors, whose sum is σ = 224049945600. Its totient is φ = 17183232000.

The previous prime is 66133271993. The next prime is 66133272031. The reversal of 66133272000 is 27233166.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 291335887 + ... + 291336113.

Almost surely, 2^66133272000 is an apocalyptic number.

66133272000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66133272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112024972800).

66133272000 is an abundant number, since it is smaller than the sum of its proper divisors (157916673600).

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

66133272000 is a wasteful number, since it uses less digits than its factorization.

66133272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The spelling of 66133272000 in words is "sixty-six billion, one hundred thirty-three million, two hundred seventy-two thousand".