1968495833754 has 128 divisors (see below), whose sum is σ = 4525670983680. Its totient is φ = 633827400192.

The previous prime is 1968495833723. The next prime is 1968495833783. The reversal of 1968495833754 is 4573385948691.

1968495833754 is a `hidden beast` number, since 1 + 9 + 6 + 8 + 4 + 9 + 583 + 37 + 5 + 4 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 429518947 + ... + 429523529.

It is an arithmetic number, because the mean of its divisors is an integer number (35356804560).

Almost surely, 2^{1968495833754} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1968495833754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262835491840).

1968495833754 is an abundant number, since it is smaller than the sum of its proper divisors (2557175149926).

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

1968495833754 is a wasteful number, since it uses less digits than its factorization.

1968495833754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6641 (or 6635 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 72.

The spelling of 1968495833754 in words is "one trillion, nine hundred sixty-eight billion, four hundred ninety-five million, eight hundred thirty-three thousand, seven hundred fifty-four".