1068958287936 has 378 divisors, whose sum is σ = 3917705465310. Its totient is φ = 277650616320.

The previous prime is 1068958287919. The next prime is 1068958287949. The reversal of 1068958287936 is 6397828598601.

1068958287936 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 9 + 582 + 8 + 7 + 9 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 952076353536 + 116881934400 = 975744^2 + 341880^2 .

It is a super-2 number, since 2×1068958287936² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3258600 + ... + 3571608.

Almost surely, 2^{1068958287936} is an apocalyptic number.

1068958287936 is a gapful number since it is divisible by the number (16) 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 1068958287936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958852732655).

1068958287936 is an abundant number, since it is smaller than the sum of its proper divisors (2848747177374).

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

1068958287936 is a wasteful number, since it uses less digits than its factorization.

1068958287936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313063 (or 313032 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 1068958287936 in words is "one trillion, sixty-eight billion, nine hundred fifty-eight million, two hundred eighty-seven thousand, nine hundred thirty-six".