668241540489600 has 2688 divisors, whose sum is σ = 3151427882849280. Its totient is φ = 135899298201600.

The previous prime is 668241540489571. The next prime is 668241540489659. The reversal of 668241540489600 is 6984045142866.

668241540489600 is a `hidden beast` number, since 6 + 6 + 8 + 2 + 4 + 1 + 540 + 4 + 89 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 8442363624 + ... + 8442442776.

Almost surely, 2^{668241540489600} is an apocalyptic number.

668241540489600 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 668241540489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575713941424640).

668241540489600 is an abundant number, since it is smaller than the sum of its proper divisors (2483186342359680).

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

668241540489600 is a wasteful number, since it uses less digits than its factorization.

668241540489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79260 (or 79228 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 668241540489600 in words is "six hundred sixty-eight trillion, two hundred forty-one billion, five hundred forty million, four hundred eighty-nine thousand, six hundred".