666343327703040 has 2240 divisors, whose sum is σ = 2660265927839520. Its totient is φ = 158508452413440.

The previous prime is 666343327702963. The next prime is 666343327703057. The reversal of 666343327703040 is 40307723343666.

It can be written as a sum of positive squares in 16 ways, for example, as 94859496493056 + 571483831209984 = 9739584^2 + 23905728^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 192751900992 + ... + 192751904448.

Almost surely, 2^{666343327703040} is an apocalyptic number.

666343327703040 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 666343327703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330132963919760).

666343327703040 is an abundant number, since it is smaller than the sum of its proper divisors (1993922600136480).

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

666343327703040 is a wasteful number, since it uses less digits than its factorization.

666343327703040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3663 (or 3630 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 54.

The spelling of 666343327703040 in words is "six hundred sixty-six trillion, three hundred forty-three billion, three hundred twenty-seven million, seven hundred three thousand, forty".