1968229972800 has 2016 divisors, whose sum is σ = 9351137203200. Its totient is φ = 393224232960.

The previous prime is 1968229972799. The next prime is 1968229972837. The reversal of 1968229972800 is 82799228691.

It is a happy number.

1968229972800 is a `hidden beast` number, since 1 + 9 + 68 + 2 + 299 + 7 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 971005387 + ... + 971007413.

Almost surely, 2^{1968229972800} is an apocalyptic number.

1968229972800 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 1968229972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4675568601600).

1968229972800 is an abundant number, since it is smaller than the sum of its proper divisors (7382907230400).

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

1968229972800 is a wasteful number, since it uses less digits than its factorization.

1968229972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110 (or 2076 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 1968229972800 in words is "one trillion, nine hundred sixty-eight billion, two hundred twenty-nine million, nine hundred seventy-two thousand, eight hundred".