1984741668000 has 3456 divisors, whose sum is σ = 9513687665664. Its totient is φ = 387459072000.

The previous prime is 1984741667983. The next prime is 1984741668001. The reversal of 1984741668000 is 8661474891.

1984741668000 is a `hidden beast` number, since 1 + 9 + 8 + 474 + 166 + 8 + 0 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (1984741668001) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 27954107965 + ... + 27954108035.

It is an arithmetic number, because the mean of its divisors is an integer number (2752803144).

Almost surely, 2^{1984741668000} is an apocalyptic number.

1984741668000 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 1984741668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4756843832832).

1984741668000 is an abundant number, since it is smaller than the sum of its proper divisors (7528945997664).

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

1984741668000 is a wasteful number, since it uses less digits than its factorization.

1984741668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 1984741668000 in words is "one trillion, nine hundred eighty-four billion, seven hundred forty-one million, six hundred sixty-eight thousand".