1068375697200 has 720 divisors, whose sum is σ = 4320257700096. Its totient is φ = 239461632000.

The previous prime is 1068375697171. The next prime is 1068375697289. The reversal of 1068375697200 is 27965738601.

1068375697200 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 3 + 7 + 569 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×1068375697200² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 272334439 + ... + 272338361.

Almost surely, 2^{1068375697200} is an apocalyptic number.

1068375697200 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 1068375697200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2160128850048).

1068375697200 is an abundant number, since it is smaller than the sum of its proper divisors (3251882002896).

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

1068375697200 is a wasteful number, since it uses less digits than its factorization.

1068375697200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4162 (or 4148 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 1068375697200 in words is "one trillion, sixty-eight billion, three hundred seventy-five million, six hundred ninety-seven thousand, two hundred".