666657306000 has 480 divisors, whose sum is σ = 2717684057088. Its totient is φ = 149135385600.

The previous prime is 666657305971. The next prime is 666657306011. The reversal of 666657306000 is 603756666.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5865714 + ... + 5978286.

Almost surely, 2^666657306000 is an apocalyptic number.

666657306000 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 666657306000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358842028544).

666657306000 is an abundant number, since it is smaller than the sum of its proper divisors (2051026751088).

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

666657306000 is a wasteful number, since it uses less digits than its factorization.

666657306000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112656 (or 112637 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 666657306000 in words is "six hundred sixty-six billion, six hundred fifty-seven million, three hundred six thousand".