666993165120 has 336 divisors, whose sum is σ = 2385875157120. Its totient is φ = 177361975296.

The previous prime is 666993165119. The next prime is 666993165127. The reversal of 666993165120 is 21561399666.

It is a super-2 number, since 2×666993165120² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (666993165127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27903894 + ... + 27927786.

It is an arithmetic number, because the mean of its divisors is an integer number (7100818920).

Almost surely, 2^666993165120 is an apocalyptic number.

666993165120 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 666993165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192937578560).

666993165120 is an abundant number, since it is smaller than the sum of its proper divisors (1718881992000).

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

666993165120 is a wasteful number, since it uses less digits than its factorization.

666993165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24284 (or 24262 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 666993165120 in words is "six hundred sixty-six billion, nine hundred ninety-three million, one hundred sixty-five thousand, one hundred twenty".