66202665984 has 880 divisors, whose sum is σ = 249668496000. Its totient is φ = 17362501632.

The previous prime is 66202665983. The next prime is 66202666051. The reversal of 66202665984 is 48956620266.

It is a happy number.

66202665984 is a `hidden beast` number, since 6 + 6 + 20 + 26 + 6 + 598 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 66202665984.

It is not an unprimeable number, because it can be changed into a prime (66202665983) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 369847207 + ... + 369847385.

It is an arithmetic number, because the mean of its divisors is an integer number (283714200).

Almost surely, 2^66202665984 is an apocalyptic number.

66202665984 is a gapful number since it is divisible by the number (64) 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 66202665984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124834248000).

66202665984 is an abundant number, since it is smaller than the sum of its proper divisors (183465830016).

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

66202665984 is a wasteful number, since it uses less digits than its factorization.

66202665984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 66202665984 in words is "sixty-six billion, two hundred two million, six hundred sixty-five thousand, nine hundred eighty-four".