66262329252 has 288 divisors, whose sum is σ = 203310342144. Its totient is φ = 17795980800.

The previous prime is 66262329229. The next prime is 66262329307. The reversal of 66262329252 is 25292326266.

66262329252 is a `hidden beast` number, since 66 + 262 + 329 + 2 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 66262329198 and 66262329207.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 141889123 + ... + 141889589.

It is an arithmetic number, because the mean of its divisors is an integer number (705938688).

Almost surely, 2^66262329252 is an apocalyptic number.

66262329252 is a gapful number since it is divisible by the number (62) 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 66262329252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101655171072).

66262329252 is an abundant number, since it is smaller than the sum of its proper divisors (137048012892).

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

66262329252 is a wasteful number, since it uses less digits than its factorization.

66262329252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 994 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 66262329252 in words is "sixty-six billion, two hundred sixty-two million, three hundred twenty-nine thousand, two hundred fifty-two".