66529997352 has 960 divisors, whose sum is σ = 260706600000. Its totient is φ = 15613710336.

The previous prime is 66529997327. The next prime is 66529997411. The reversal of 66529997352 is 25379992566.

66529997352 is a `hidden beast` number, since 66 + 52 + 99 + 97 + 352 = 666.

It is a super-3 number, since 3×66529997352³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (55112400) is a multiple of the sum of its prime divisors (560).

It is a self number, because there is not a number n which added to its sum of digits gives 66529997352.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 133326399 + ... + 133326897.

It is an arithmetic number, because the mean of its divisors is an integer number (271569375).

Almost surely, 2^66529997352 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 66529997352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130353300000).

66529997352 is an abundant number, since it is smaller than the sum of its proper divisors (194176602648).

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

66529997352 is a wasteful number, since it uses less digits than its factorization.

66529997352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 560 counting only the distinct ones).

The product of its digits is 55112400, while the sum is 63.

The spelling of 66529997352 in words is "sixty-six billion, five hundred twenty-nine million, nine hundred ninety-seven thousand, three hundred fifty-two".