1068132400816 has 240 divisors, whose sum is σ = 2335559577120. Its totient is φ = 472671313920.

The previous prime is 1068132400799. The next prime is 1068132400889. The reversal of 1068132400816 is 6180042318601.

It is a super-2 number, since 2×1068132400816² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1897215351 + ... + 1897215913.

It is an arithmetic number, because the mean of its divisors is an integer number (9731498238).

Almost surely, 2^{1068132400816} is an apocalyptic number.

1068132400816 is a gapful number since it is divisible by the number (16) 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 1068132400816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167779788560).

1068132400816 is an abundant number, since it is smaller than the sum of its proper divisors (1267427176304).

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

1068132400816 is a wasteful number, since it uses less digits than its factorization.

1068132400816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 1068132400816 in words is "one trillion, sixty-eight billion, one hundred thirty-two million, four hundred thousand, eight hundred sixteen".