1968304032000 has 432 divisors, whose sum is σ = 7182360581760. Its totient is φ = 517483008000.

The previous prime is 1968304031951. The next prime is 1968304032029. The reversal of 1968304032000 is 2304038691.

1968304032000 is a `hidden beast` number, since 19 + 6 + 8 + 30 + 403 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 20399871 + ... + 20496129.

It is an arithmetic number, because the mean of its divisors is an integer number (16625834680).

Almost surely, 2^{1968304032000} is an apocalyptic number.

1968304032000 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 1968304032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3591180290880).

1968304032000 is an abundant number, since it is smaller than the sum of its proper divisors (5214056549760).

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

1968304032000 is an equidigital number, since it uses as much as digits as its factorization.

1968304032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96367 (or 96340 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 1968304032000 in words is "one trillion, nine hundred sixty-eight billion, three hundred four million, thirty-two thousand".