1968187429728 has 144 divisors (see below), whose sum is σ = 6222012241536. Its totient is φ = 586060738560.

The previous prime is 1968187429717. The next prime is 1968187429757. The reversal of 1968187429728 is 8279247818691.

1968187429728 is a `hidden beast` number, since 19 + 6 + 8 + 187 + 429 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8362825 + ... + 8594952.

It is an arithmetic number, because the mean of its divisors is an integer number (43208418344).

Almost surely, 2^{1968187429728} is an apocalyptic number.

1968187429728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1968187429728 is an abundant number, since it is smaller than the sum of its proper divisors (4253824811808).

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

1968187429728 is a wasteful number, since it uses less digits than its factorization.

1968187429728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16957837 (or 16957826 counting only the distinct ones).

The product of its digits is 195084288, while the sum is 72.

The spelling of 1968187429728 in words is "one trillion, nine hundred sixty-eight billion, one hundred eighty-seven million, four hundred twenty-nine thousand, seven hundred twenty-eight".