1968511680 has 224 divisors, whose sum is σ = 7115129280. Its totient is φ = 512040960.

The previous prime is 1968511679. The next prime is 1968511681. The reversal of 1968511680 is 861158691.

1968511680 is a `hidden beast` number, since 19 + 68 + 511 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1968511679) and next prime (1968511681).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1968511681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 351462 + ... + 357018.

It is an arithmetic number, because the mean of its divisors is an integer number (31763970).

Almost surely, 2^1968511680 is an apocalyptic number.

1968511680 is a gapful number since it is divisible by the number (10) 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 1968511680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3557564640).

1968511680 is an abundant number, since it is smaller than the sum of its proper divisors (5146617600).

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

1968511680 is a wasteful number, since it uses less digits than its factorization.

1968511680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5624 (or 5608 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The square root of 1968511680 is about 44367.9127298096. The cubic root of 1968511680 is about 1253.2739094607.

The spelling of 1968511680 in words is "one billion, nine hundred sixty-eight million, five hundred eleven thousand, six hundred eighty".