66180202956 has 192 divisors, whose sum is σ = 203084851200. Its totient is φ = 18235590912.

The previous prime is 66180202951. The next prime is 66180202981. The reversal of 66180202956 is 65920208166.

66180202956 is a `hidden beast` number, since 6 + 618 + 0 + 2 + 0 + 29 + 5 + 6 = 666.

66180202956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×66180202956² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66180202951) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37116441 + ... + 37118223.

It is an arithmetic number, because the mean of its divisors is an integer number (1057733600).

Almost surely, 2^66180202956 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 66180202956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101542425600).

66180202956 is an abundant number, since it is smaller than the sum of its proper divisors (136904648244).

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

66180202956 is a wasteful number, since it uses less digits than its factorization.

66180202956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3525 (or 3517 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 66180202956 in words is "sixty-six billion, one hundred eighty million, two hundred two thousand, nine hundred fifty-six".