1068918969600 has 648 divisors, whose sum is σ = 3934934814720. Its totient is φ = 276694548480.

The previous prime is 1068918969593. The next prime is 1068918969709. The reversal of 1068918969600 is 69698198601.

1068918969600 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 9 + 18 + 9 + 6 + 9 + 600 = 666.

It is a super-2 number, since 2×1068918969600² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 343812846 + ... + 343815954.

Almost surely, 2^{1068918969600} is an apocalyptic number.

1068918969600 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 1068918969600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967467407360).

1068918969600 is an abundant number, since it is smaller than the sum of its proper divisors (2866015845120).

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

1068918969600 is a wasteful number, since it uses less digits than its factorization.

1068918969600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3315 (or 3293 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

The spelling of 1068918969600 in words is "one trillion, sixty-eight billion, nine hundred eighteen million, nine hundred sixty-nine thousand, six hundred".