1068973034800 has 120 divisors (see below), whose sum is σ = 2802426561792. Its totient is φ = 388614048000.

The previous prime is 1068973034783. The next prime is 1068973034809. The reversal of 1068973034800 is 84303798601.

It is a happy number.

It is a super-2 number, since 2×1068973034800² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1068973034809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17600485 + ... + 17661115.

Almost surely, 2^{1068973034800} is an apocalyptic number.

1068973034800 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 1068973034800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401213280896).

1068973034800 is an abundant number, since it is smaller than the sum of its proper divisors (1733453526992).

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

1068973034800 is a wasteful number, since it uses less digits than its factorization.

1068973034800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64667 (or 64656 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The spelling of 1068973034800 in words is "one trillion, sixty-eight billion, nine hundred seventy-three million, thirty-four thousand, eight hundred".