1068705918000 has 1920 divisors, whose sum is σ = 4751299897344. Its totient is φ = 218308608000.

The previous prime is 1068705917977. The next prime is 1068705918011. The reversal of 1068705918000 is 8195078601.

1068705918000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1068705918000² (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 383 ways as a sum of consecutive naturals, for example, 3776345859 + ... + 3776346141.

Almost surely, 2^{1068705918000} is an apocalyptic number.

1068705918000 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 1068705918000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375649948672).

1068705918000 is an abundant number, since it is smaller than the sum of its proper divisors (3682593979344).

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

1068705918000 is a wasteful number, since it uses less digits than its factorization.

1068705918000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 1068705918000 in words is "one trillion, sixty-eight billion, seven hundred five million, nine hundred eighteen thousand".