668546498880 has 672 divisors, whose sum is σ = 2719262617344. Its totient is φ = 154880999424.

The previous prime is 668546498857. The next prime is 668546498881. The reversal of 668546498880 is 88894645866.

668546498880 is a `hidden beast` number, since 6 + 6 + 8 + 5 + 464 + 9 + 88 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 668546498799 and 668546498808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668546498881) 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, 17165509 + ... + 17204411.

It is an arithmetic number, because the mean of its divisors is an integer number (4046521752).

Almost surely, 2^668546498880 is an apocalyptic number.

668546498880 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 668546498880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359631308672).

668546498880 is an abundant number, since it is smaller than the sum of its proper divisors (2050716118464).

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

668546498880 is a wasteful number, since it uses less digits than its factorization.

668546498880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38965 (or 38943 counting only the distinct ones).

The product of its (nonzero) digits is 637009920, while the sum is 72.

The spelling of 668546498880 in words is "six hundred sixty-eight billion, five hundred forty-six million, four hundred ninety-eight thousand, eight hundred eighty".