1968256800 has 288 divisors, whose sum is σ = 7165791360. Its totient is φ = 521395200.

The previous prime is 1968256777. The next prime is 1968256831. The reversal of 1968256800 is 86528691.

1968256800 is a `hidden beast` number, since 1 + 9 + 6 + 82 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6328645 + ... + 6328955.

It is an arithmetic number, because the mean of its divisors is an integer number (24881220).

Almost surely, 2^1968256800 is an apocalyptic number.

1968256800 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 1968256800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582895680).

1968256800 is an abundant number, since it is smaller than the sum of its proper divisors (5197534560).

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

1968256800 is a wasteful number, since it uses less digits than its factorization.

1968256800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1968256800 is about 44365.0402907515. The cubic root of 1968256800 is about 1253.2198164378.

The spelling of 1968256800 in words is "one billion, nine hundred sixty-eight million, two hundred fifty-six thousand, eight hundred".