66652606224288 has 1536 divisors, whose sum is σ = 244712337408000. Its totient is φ = 17231795159040.

The previous prime is 66652606224287. The next prime is 66652606224289. The reversal of 66652606224288 is 88242260625666.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (66652606224287) and next prime (66652606224289).

It is a super-2 number, since 2×66652606224288² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (66652606224287) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 108026914156 + ... + 108026914772.

It is an arithmetic number, because the mean of its divisors is an integer number (159317928000).

Almost surely, 2^{66652606224288} 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 66652606224288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122356168704000).

66652606224288 is an abundant number, since it is smaller than the sum of its proper divisors (178059731183712).

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

66652606224288 is a wasteful number, since it uses less digits than its factorization.

66652606224288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 63.

The spelling of 66652606224288 in words is "sixty-six trillion, six hundred fifty-two billion, six hundred six million, two hundred twenty-four thousand, two hundred eighty-eight".