1068240346800 has 120 divisors (see below), whose sum is σ = 3733014494400. Its totient is φ = 258967353600.

The previous prime is 1068240346763. The next prime is 1068240346897. The reversal of 1068240346800 is 86430428601.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1068240346800² (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 (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40450450 + ... + 40476849.

It is an arithmetic number, because the mean of its divisors is an integer number (31108454120).

Almost surely, 2^{1068240346800} is an apocalyptic number.

1068240346800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1068240346800 is an abundant number, since it is smaller than the sum of its proper divisors (2664774147600).

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

1068240346800 is a wasteful number, since it uses less digits than its factorization.

1068240346800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80927331 (or 80927320 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 1068240346800 in words is "one trillion, sixty-eight billion, two hundred forty million, three hundred forty-six thousand, eight hundred".