1068640770600 has 768 divisors, whose sum is σ = 4379794675200. Its totient is φ = 236806225920.

The previous prime is 1068640770569. The next prime is 1068640770643. The reversal of 1068640770600 is 60770468601.

1068640770600 is a `hidden beast` number, since 106 + 86 + 407 + 7 + 0 + 60 + 0 = 666.

It is a super-2 number, since 2×1068640770600² (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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27428734 + ... + 27467666.

It is an arithmetic number, because the mean of its divisors is an integer number (5702857650).

Almost surely, 2^{1068640770600} is an apocalyptic number.

1068640770600 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 1068640770600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2189897337600).

1068640770600 is an abundant number, since it is smaller than the sum of its proper divisors (3311153904600).

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

1068640770600 is a wasteful number, since it uses less digits than its factorization.

1068640770600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39011 (or 38996 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 1068640770600 in words is "one trillion, sixty-eight billion, six hundred forty million, seven hundred seventy thousand, six hundred".