1668233226240 has 576 divisors, whose sum is σ = 6821003105280. Its totient is φ = 369005690880.

The previous prime is 1668233226229. The next prime is 1668233226281. The reversal of 1668233226240 is 426223328661.

1668233226240 is a `hidden beast` number, since 1 + 6 + 6 + 82 + 3 + 322 + 6 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1668233226240² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19957012 + ... + 20040428.

It is an arithmetic number, because the mean of its divisors is an integer number (11842019280).

Almost surely, 2^{1668233226240} is an apocalyptic number.

1668233226240 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 1668233226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3410501552640).

1668233226240 is an abundant number, since it is smaller than the sum of its proper divisors (5152769879040).

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

1668233226240 is a wasteful number, since it uses less digits than its factorization.

1668233226240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83488 (or 83465 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 1668233226240 in words is "one trillion, six hundred sixty-eight billion, two hundred thirty-three million, two hundred twenty-six thousand, two hundred forty".