1968901344000 has 1440 divisors, whose sum is σ = 7622676052992. Its totient is φ = 504299520000.

The previous prime is 1968901343977. The next prime is 1968901344107. The reversal of 1968901344000 is 4431098691.

1968901344000 is a `hidden beast` number, since 196 + 8 + 9 + 0 + 13 + 440 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 159 ways as a sum of consecutive naturals, for example, 10308383905 + ... + 10308384095.

Almost surely, 2^{1968901344000} is an apocalyptic number.

1968901344000 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 1968901344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3811338026496).

1968901344000 is an abundant number, since it is smaller than the sum of its proper divisors (5653774708992).

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

1968901344000 is an equidigital number, since it uses as much as digits as its factorization.

1968901344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

It can be divided in two parts, 196890 and 1344000, that added together give a triangular number (1540890 = T₁₇₅₅).

The spelling of 1968901344000 in words is "one trillion, nine hundred sixty-eight billion, nine hundred one million, three hundred forty-four thousand".