1068441264000 has 768 divisors, whose sum is σ = 4368004392960. Its totient is φ = 247746048000.

The previous prime is 1068441263999. The next prime is 1068441264017. The reversal of 1068441264000 is 4621448601.

It is a happy number.

1068441264000 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 4 + 4 + 1 + 2 + 640 + 0 + 0 = 666.

1068441264000 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 2×1068441264000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36417337 + ... + 36446663.

It is an arithmetic number, because the mean of its divisors is an integer number (5687505720).

Almost surely, 2^{1068441264000} is an apocalyptic number.

1068441264000 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 1068441264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184002196480).

1068441264000 is an abundant number, since it is smaller than the sum of its proper divisors (3299563128960).

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

1068441264000 is a wasteful number, since it uses less digits than its factorization.

1068441264000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29396 (or 29371 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 1068441264000 in words is "one trillion, sixty-eight billion, four hundred forty-one million, two hundred sixty-four thousand".