66809763360 has 768 divisors, whose sum is σ = 265584614400. Its totient is φ = 15590817792.

The previous prime is 66809763257. The next prime is 66809763407. The reversal of 66809763360 is 6336790866.

It is a happy number.

66809763360 is a `hidden beast` number, since 66 + 80 + 97 + 63 + 360 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 66809763297 and 66809763306.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62496906 + ... + 62497974.

It is an arithmetic number, because the mean of its divisors is an integer number (345813300).

Almost surely, 2^66809763360 is an apocalyptic number.

66809763360 is a gapful number since it is divisible by the number (60) 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 66809763360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132792307200).

66809763360 is an abundant number, since it is smaller than the sum of its proper divisors (198774851040).

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

66809763360 is a wasteful number, since it uses less digits than its factorization.

66809763360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 66809763360 in words is "sixty-six billion, eight hundred nine million, seven hundred sixty-three thousand, three hundred sixty".