1068948536960 has 128 divisors (see below), whose sum is σ = 2606122978560. Its totient is φ = 419116871680.

The previous prime is 1068948536941. The next prime is 1068948536993. The reversal of 1068948536960 is 696358498601.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1068948536960² (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 15 ways as a sum of consecutive naturals, for example, 37399475 + ... + 37428045.

It is an arithmetic number, because the mean of its divisors is an integer number (20360335770).

Almost surely, 2^{1068948536960} is an apocalyptic number.

1068948536960 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 1068948536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303061489280).

1068948536960 is an abundant number, since it is smaller than the sum of its proper divisors (1537174441600).

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

1068948536960 is a wasteful number, since it uses less digits than its factorization.

1068948536960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29746 (or 29734 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 65.

The spelling of 1068948536960 in words is "one trillion, sixty-eight billion, nine hundred forty-eight million, five hundred thirty-six thousand, nine hundred sixty".