668033871360 has 640 divisors, whose sum is σ = 2394091054080. Its totient is φ = 157917118464.

The previous prime is 668033871313. The next prime is 668033871383. The reversal of 668033871360 is 63178330866.

It is a happy number.

668033871360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

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, 488685397 + ... + 488686763.

It is an arithmetic number, because the mean of its divisors is an integer number (3740767272).

Almost surely, 2^668033871360 is an apocalyptic number.

668033871360 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 668033871360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197045527040).

668033871360 is an abundant number, since it is smaller than the sum of its proper divisors (1726057182720).

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

668033871360 is a wasteful number, since it uses less digits than its factorization.

668033871360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 668033871360 in words is "six hundred sixty-eight billion, thirty-three million, eight hundred seventy-one thousand, three hundred sixty".