666730101600 has 432 divisors, whose sum is σ = 2409109807104. Its totient is φ = 173416320000.

The previous prime is 666730101593. The next prime is 666730101613. The reversal of 666730101600 is 6101037666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 356348665 + ... + 356350535.

It is an arithmetic number, because the mean of its divisors is an integer number (5576643072).

Almost surely, 2^666730101600 is an apocalyptic number.

666730101600 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 666730101600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204554903552).

666730101600 is an abundant number, since it is smaller than the sum of its proper divisors (1742379705504).

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

666730101600 is a wasteful number, since it uses less digits than its factorization.

666730101600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3091 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 666730101600 in words is "six hundred sixty-six billion, seven hundred thirty million, one hundred one thousand, six hundred".