6984442016640 has 768 divisors, whose sum is σ = 27369655185600. Its totient is φ = 1625702400000.

The previous prime is 6984442016623. The next prime is 6984442016689. The reversal of 6984442016640 is 466102444896.

6984442016640 is a `hidden beast` number, since 69 + 84 + 442 + 0 + 1 + 6 + 64 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 332566140 + ... + 332587140.

Almost surely, 2^{6984442016640} is an apocalyptic number.

6984442016640 is a gapful number since it is divisible by the number (60) 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 6984442016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13684827592800).

6984442016640 is an abundant number, since it is smaller than the sum of its proper divisors (20385213168960).

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

6984442016640 is a wasteful number, since it uses less digits than its factorization.

6984442016640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21247 (or 21232 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 6984442016640 in words is "six trillion, nine hundred eighty-four billion, four hundred forty-two million, sixteen thousand, six hundred forty".