66286832760 has 320 divisors, whose sum is σ = 227665468800. Its totient is φ = 17364710016.

The previous prime is 66286832743. The next prime is 66286832873. The reversal of 66286832760 is 6723868266.

It is a happy number.

66286832760 is a `hidden beast` number, since 6 + 628 + 6 + 8 + 3 + 2 + 7 + 6 + 0 = 666.

66286832760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 66286832697 and 66286832706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46451167 + ... + 46452593.

It is an arithmetic number, because the mean of its divisors is an integer number (711454590).

Almost surely, 2^66286832760 is an apocalyptic number.

66286832760 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 66286832760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113832734400).

66286832760 is an abundant number, since it is smaller than the sum of its proper divisors (161378636040).

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

66286832760 is an equidigital number, since it uses as much as digits as its factorization.

66286832760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 66286832760 in words is "sixty-six billion, two hundred eighty-six million, eight hundred thirty-two thousand, seven hundred sixty".