1668953469960 has 512 divisors, whose sum is σ = 6390005760000. Its totient is φ = 379556167680.

The previous prime is 1668953469923. The next prime is 1668953469983. The reversal of 1668953469960 is 699643598661.

1668953469960 is a `hidden beast` number, since 1 + 6 + 6 + 89 + 534 + 6 + 9 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 2321214481 + ... + 2321215199.

It is an arithmetic number, because the mean of its divisors is an integer number (12480480000).

Almost surely, 2^{1668953469960} is an apocalyptic number.

1668953469960 is a gapful number since it is divisible by the number (10) 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 1668953469960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195002880000).

1668953469960 is an abundant number, since it is smaller than the sum of its proper divisors (4721052290040).

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

1668953469960 is a wasteful number, since it uses less digits than its factorization.

1668953469960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1856 counting only the distinct ones).

The product of its (nonzero) digits is 453496320, while the sum is 72.

The spelling of 1668953469960 in words is "one trillion, six hundred sixty-eight billion, nine hundred fifty-three million, four hundred sixty-nine thousand, nine hundred sixty".