666728276760 has 768 divisors, whose sum is σ = 2772906393600. Its totient is φ = 138763901952.

The previous prime is 666728276759. The next prime is 666728276779. The reversal of 666728276760 is 67672827666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 613364937 + ... + 613366023.

It is an arithmetic number, because the mean of its divisors is an integer number (3610555200).

Almost surely, 2^666728276760 is an apocalyptic number.

666728276760 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 666728276760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386453196800).

666728276760 is an abundant number, since it is smaller than the sum of its proper divisors (2106178116840).

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

666728276760 is a wasteful number, since it uses less digits than its factorization.

666728276760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 666728276760 in words is "six hundred sixty-six billion, seven hundred twenty-eight million, two hundred seventy-six thousand, seven hundred sixty".