1066813798968 has 40 divisors (see below), whose sum is σ = 2988066429480. Its totient is φ = 355604599440.

The previous prime is 1066813798937. The next prime is 1066813798991. The reversal of 1066813798968 is 8698973186601.

1066813798968 is a `hidden beast` number, since 106 + 68 + 1 + 379 + 8 + 96 + 8 = 666.

1066813798968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1066813798968² (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 a junction number, because it is equal to n+sod(n) for n = 1066813798896 and 1066813798905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 823158148 + ... + 823159443.

It is an arithmetic number, because the mean of its divisors is an integer number (74701660737).

Almost surely, 2^{1066813798968} is an apocalyptic number.

1066813798968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1066813798968 is an abundant number, since it is smaller than the sum of its proper divisors (1921252630512).

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

1066813798968 is a wasteful number, since it uses less digits than its factorization.

1066813798968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646317609 (or 1646317596 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 1066813798968 in words is "one trillion, sixty-six billion, eight hundred thirteen million, seven hundred ninety-eight thousand, nine hundred sixty-eight".