668013848460 has 288 divisors, whose sum is σ = 2348213317632. Its totient is φ = 150557667840.

The previous prime is 668013848429. The next prime is 668013848461. The reversal of 668013848460 is 64848310866.

668013848460 is a `hidden beast` number, since 6 + 6 + 8 + 0 + 138 + 48 + 460 = 666.

668013848460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 668013848397 and 668013848406.

It is not an unprimeable number, because it can be changed into a prime (668013848461) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56571877 + ... + 56583683.

It is an arithmetic number, because the mean of its divisors is an integer number (8153518464).

Almost surely, 2^668013848460 is an apocalyptic number.

668013848460 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 668013848460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174106658816).

668013848460 is an abundant number, since it is smaller than the sum of its proper divisors (1680199469172).

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

668013848460 is a wasteful number, since it uses less digits than its factorization.

668013848460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12453 (or 12448 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 668013848460 in words is "six hundred sixty-eight billion, thirteen million, eight hundred forty-eight thousand, four hundred sixty".