1967975917660 has 24 divisors (see below), whose sum is σ = 4275258029280. Its totient is φ = 760045871424.

The previous prime is 1967975917619. The next prime is 1967975917669. The reversal of 1967975917660 is 667195797691.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1967975917669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1696530384 + ... + 1696531543.

It is an arithmetic number, because the mean of its divisors is an integer number (178135751220).

Almost surely, 2^{1967975917660} is an apocalyptic number.

1967975917660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1967975917660 is an abundant number, since it is smaller than the sum of its proper divisors (2307282111620).

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

1967975917660 is a wasteful number, since it uses less digits than its factorization.

1967975917660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3393061965 (or 3393061963 counting only the distinct ones).

The product of its (nonzero) digits is 270050760, while the sum is 73.

The spelling of 1967975917660 in words is "one trillion, nine hundred sixty-seven billion, nine hundred seventy-five million, nine hundred seventeen thousand, six hundred sixty".