668366741952 has 448 divisors, whose sum is σ = 2421311692800. Its totient is φ = 176053616640.

The previous prime is 668366741947. The next prime is 668366742007. The reversal of 668366741952 is 259147663866.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 668366741952.

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, 155830624 + ... + 155834912.

It is an arithmetic number, because the mean of its divisors is an integer number (5404713600).

Almost surely, 2^668366741952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668366741952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210655846400).

668366741952 is an abundant number, since it is smaller than the sum of its proper divisors (1752944950848).

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

668366741952 is a wasteful number, since it uses less digits than its factorization.

668366741952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5321 (or 5305 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 668366741952 in words is "six hundred sixty-eight billion, three hundred sixty-six million, seven hundred forty-one thousand, nine hundred fifty-two".