666288764928 has 384 divisors, whose sum is σ = 2074887360000. Its totient is φ = 210855591936.

The previous prime is 666288764899. The next prime is 666288764963. The reversal of 666288764928 is 829467882666.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 31 ways as a sum of consecutive naturals, for example, 176779428 + ... + 176783196.

It is an arithmetic number, because the mean of its divisors is an integer number (5403352500).

Almost surely, 2^666288764928 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 666288764928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037443680000).

666288764928 is an abundant number, since it is smaller than the sum of its proper divisors (1408598595072).

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

666288764928 is a wasteful number, since it uses less digits than its factorization.

666288764928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3962 (or 3936 counting only the distinct ones).

The product of its digits is 668860416, while the sum is 72.

The spelling of 666288764928 in words is "six hundred sixty-six billion, two hundred eighty-eight million, seven hundred sixty-four thousand, nine hundred twenty-eight".