1968543648 has 120 divisors (see below), whose sum is σ = 5976432000. Its totient is φ = 634988160.

The previous prime is 1968543641. The next prime is 1968543667. The reversal of 1968543648 is 8463458691.

1968543648 is a `hidden beast` number, since 1 + 96 + 8 + 543 + 6 + 4 + 8 = 666.

It is a super-2 number, since 2×1968543648² = 7750328188162295808, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1968543594 and 1968543603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1968543641) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68103 + ... + 92601.

It is an arithmetic number, because the mean of its divisors is an integer number (49803600).

Almost surely, 2^1968543648 is an apocalyptic number.

1968543648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1968543648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988216000).

1968543648 is an abundant number, since it is smaller than the sum of its proper divisors (4007888352).

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

1968543648 is a wasteful number, since it uses less digits than its factorization.

1968543648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24552 (or 24535 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 1968543648 is about 44368.2729887022. The cubic root of 1968543648 is about 1253.2806936797.

The spelling of 1968543648 in words is "one billion, nine hundred sixty-eight million, five hundred forty-three thousand, six hundred forty-eight".