666052746270912 has 3024 divisors, whose sum is σ = 2759825650353408. Its totient is φ = 153809155584000.

The previous prime is 666052746270907. The next prime is 666052746270953. The reversal of 666052746270912 is 219072647250666.

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is a self number, because there is not a number n which added to its sum of digits gives 666052746270912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3156648086487 + ... + 3156648086697.

It is an arithmetic number, because the mean of its divisors is an integer number (912640757392).

Almost surely, 2^{666052746270912} is an apocalyptic number.

666052746270912 is a gapful number since it is divisible by the number (62) 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 666052746270912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379912825176704).

666052746270912 is an abundant number, since it is smaller than the sum of its proper divisors (2093772904082496).

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

666052746270912 is a wasteful number, since it uses less digits than its factorization.

666052746270912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 666052746270912 in words is "six hundred sixty-six trillion, fifty-two billion, seven hundred forty-six million, two hundred seventy thousand, nine hundred twelve".