668435201280 has 1296 divisors, whose sum is σ = 2972525459904. Its totient is φ = 137116385280.

The previous prime is 668435201279. The next prime is 668435201309. The reversal of 668435201280 is 82102534866.

668435201280 is a `hidden beast` number, since 6 + 6 + 8 + 43 + 520 + 1 + 2 + 80 = 666.

668435201280 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×668435201280² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 515369592 + ... + 515370888.

It is an arithmetic number, because the mean of its divisors is an integer number (2293615324).

Almost surely, 2^668435201280 is an apocalyptic number.

668435201280 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 668435201280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486262729952).

668435201280 is an abundant number, since it is smaller than the sum of its proper divisors (2304090258624).

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

668435201280 is a wasteful number, since it uses less digits than its factorization.

668435201280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 668435201280 in words is "six hundred sixty-eight billion, four hundred thirty-five million, two hundred one thousand, two hundred eighty".