668832768000 has 896 divisors, whose sum is σ = 2620357309440. Its totient is φ = 167745945600.

The previous prime is 668832767921. The next prime is 668832768061. The reversal of 668832768000 is 867238866.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 470015289 + ... + 470016711.

Almost surely, 2^668832768000 is an apocalyptic number.

668832768000 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 668832768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310178654720).

668832768000 is an abundant number, since it is smaller than the sum of its proper divisors (1951524541440).

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

668832768000 is a wasteful number, since it uses less digits than its factorization.

668832768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 668832768000 in words is "six hundred sixty-eight billion, eight hundred thirty-two million, seven hundred sixty-eight thousand".