1068006876300 has 648 divisors, whose sum is σ = 4440436168896. Its totient is φ = 212080619520.

The previous prime is 1068006876281. The next prime is 1068006876329. The reversal of 1068006876300 is 36786008601.

1068006876300 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 0 + 0 + 6 + 8 + 7 + 630 + 0 = 666.

It is a super-2 number, since 2×1068006876300² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 9691309 + ... + 9800891.

It is an arithmetic number, because the mean of its divisors is an integer number (6852524952).

Almost surely, 2^{1068006876300} is an apocalyptic number.

1068006876300 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 1068006876300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220218084448).

1068006876300 is an abundant number, since it is smaller than the sum of its proper divisors (3372429292596).

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

1068006876300 is a wasteful number, since it uses less digits than its factorization.

1068006876300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109647 (or 109630 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 1068006876300 in words is "one trillion, sixty-eight billion, six million, eight hundred seventy-six thousand, three hundred".