1967978400193 has 8 divisors (see below), whose sum is σ = 2134608560000. Its totient is φ = 1803526412688.

The previous prime is 1967978400191. The next prime is 1967978400209. The reversal of 1967978400193 is 3910048797691.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1967978400193 - 2¹ = 1967978400191 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1967978400191) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 544541193 + ... + 544544806.

It is an arithmetic number, because the mean of its divisors is an integer number (266826070000).

Almost surely, 2^{1967978400193} is an apocalyptic number.

1967978400193 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1967978400193 is a deficient number, since it is larger than the sum of its proper divisors (166630159807).

1967978400193 is a wasteful number, since it uses less digits than its factorization.

1967978400193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089086151.

The product of its (nonzero) digits is 20575296, while the sum is 64.

The spelling of 1967978400193 in words is "one trillion, nine hundred sixty-seven billion, nine hundred seventy-eight million, four hundred thousand, one hundred ninety-three".