668444523292800 has 1536 divisors, whose sum is σ = 2484910669824000. Its totient is φ = 175469359104000.

The previous prime is 668444523292747. The next prime is 668444523292807. The reversal of 668444523292800 is 8292325444866.

668444523292800 is a `hidden beast` number, since 6 + 6 + 8 + 4 + 4 + 4 + 523 + 29 + 2 + 80 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (668444523292807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1174770690916 + ... + 1174770691484.

It is an arithmetic number, because the mean of its divisors is an integer number (1617780384000).

Almost surely, 2^{668444523292800} is an apocalyptic number.

668444523292800 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 668444523292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242455334912000).

668444523292800 is an abundant number, since it is smaller than the sum of its proper divisors (1816466146531200).

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

668444523292800 is a wasteful number, since it uses less digits than its factorization.

668444523292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 63.

The spelling of 668444523292800 in words is "six hundred sixty-eight trillion, four hundred forty-four billion, five hundred twenty-three million, two hundred ninety-two thousand, eight hundred".