666835007104 has 192 divisors, whose sum is σ = 1574803296000. Its totient is φ = 280360292352.

The previous prime is 666835007071. The next prime is 666835007123. The reversal of 666835007104 is 401700538666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210555729 + ... + 210558895.

It is an arithmetic number, because the mean of its divisors is an integer number (8202100500).

Almost surely, 2^666835007104 is an apocalyptic number.

666835007104 is a gapful number since it is divisible by the number (64) 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 666835007104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787401648000).

666835007104 is an abundant number, since it is smaller than the sum of its proper divisors (907968288896).

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

666835007104 is a wasteful number, since it uses less digits than its factorization.

666835007104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3823 (or 3804 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 666835007104 in words is "six hundred sixty-six billion, eight hundred thirty-five million, seven thousand, one hundred four".