1006978827969 has 32 divisors (see below), whose sum is σ = 1593045273600. Its totient is φ = 627261546240.

The previous prime is 1006978827941. The next prime is 1006978827973. The reversal of 1006978827969 is 9697288796001.

1006978827969 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1006978827969 - 2⁹ = 1006978827457 is a prime.

It is a super-2 number, since 2×1006978827969² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1006978827897 and 1006978827906.

It is not an unprimeable number, because it can be changed into a prime (1006978827919) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20718504 + ... + 20767049.

It is an arithmetic number, because the mean of its divisors is an integer number (49782664800).

Almost surely, 2^{1006978827969} is an apocalyptic number.

It is an amenable number.

1006978827969 is a deficient number, since it is larger than the sum of its proper divisors (586066445631).

1006978827969 is a wasteful number, since it uses less digits than its factorization.

1006978827969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41485622 (or 41485616 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 72.

The spelling of 1006978827969 in words is "one trillion, six billion, nine hundred seventy-eight million, eight hundred twenty-seven thousand, nine hundred sixty-nine".