666006510401700 has 288 divisors, whose sum is σ = 2143591334707200. Its totient is φ = 158544939686400.

The previous prime is 666006510401693. The next prime is 666006510401707. The reversal of 666006510401700 is 7104015600666.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (666006510401693) and next prime (666006510401707).

It is not an unprimeable number, because it can be changed into a prime (666006510401707) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177926001 + ... + 181630599.

Almost surely, 2^{666006510401700} is an apocalyptic number.

666006510401700 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 666006510401700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071795667353600).

666006510401700 is an abundant number, since it is smaller than the sum of its proper divisors (1477584824305500).

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

666006510401700 is a wasteful number, since it uses less digits than its factorization.

666006510401700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3706147 (or 3706140 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 666006510401700 in words is "six hundred sixty-six trillion, six billion, five hundred ten million, four hundred one thousand, seven hundred".