6994443456 has 504 divisors, whose sum is σ = 27414498384. Its totient is φ = 1676021760.

The previous prime is 6994443439. The next prime is 6994443487. The reversal of 6994443456 is 6543444996.

6994443456 is a `hidden beast` number, since 69 + 94 + 4 + 43 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4035166 + ... + 4036898.

It is an arithmetic number, because the mean of its divisors is an integer number (54393846).

Almost surely, 2^6994443456 is an apocalyptic number.

6994443456 is a gapful number since it is divisible by the number (66) 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 6994443456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13707249192).

6994443456 is an abundant number, since it is smaller than the sum of its proper divisors (20420054928).

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

6994443456 is a wasteful number, since it uses less digits than its factorization.

6994443456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1769 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The square root of 6994443456 is about 83632.7893591981. The cubic root of 6994443456 is about 1912.4248922958.

The spelling of 6994443456 in words is "six billion, nine hundred ninety-four million, four hundred forty-three thousand, four hundred fifty-six".