668472488640 has 896 divisors, whose sum is σ = 2774362752000. Its totient is φ = 149763686400.

The previous prime is 668472488639. The next prime is 668472488687. The reversal of 668472488640 is 46884274866.

668472488640 is a `hidden beast` number, since 6 + 6 + 8 + 472 + 48 + 86 + 40 = 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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74031646 + ... + 74040674.

It is an arithmetic number, because the mean of its divisors is an integer number (3096387000).

Almost surely, 2^668472488640 is an apocalyptic number.

668472488640 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 668472488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387181376000).

668472488640 is an abundant number, since it is smaller than the sum of its proper divisors (2105890263360).

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

668472488640 is a wasteful number, since it uses less digits than its factorization.

668472488640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9126 (or 9110 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 668472488640 in words is "six hundred sixty-eight billion, four hundred seventy-two million, four hundred eighty-eight thousand, six hundred forty".