668328197472 has 576 divisors, whose sum is σ = 2284364759040. Its totient is φ = 183414067200.

The previous prime is 668328197461. The next prime is 668328197513. The reversal of 668328197472 is 274791823866.

668328197472 is a `hidden beast` number, since 6 + 6 + 83 + 2 + 81 + 9 + 7 + 472 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81588897 + ... + 81597087.

It is an arithmetic number, because the mean of its divisors is an integer number (3965911040).

Almost surely, 2^668328197472 is an apocalyptic number.

668328197472 is a gapful number since it is divisible by the number (62) 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 668328197472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142182379520).

668328197472 is an abundant number, since it is smaller than the sum of its proper divisors (1616036561568).

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

668328197472 is a wasteful number, since it uses less digits than its factorization.

668328197472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8307 (or 8296 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 668328197472 in words is "six hundred sixty-eight billion, three hundred twenty-eight million, one hundred ninety-seven thousand, four hundred seventy-two".