6944496000 has 512 divisors, whose sum is σ = 25662873600. Its totient is φ = 1649664000.

The previous prime is 6944495897. The next prime is 6944496011. The reversal of 6944496000 is 6944496.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19343821 + ... + 19344179.

It is an arithmetic number, because the mean of its divisors is an integer number (50122800).

Almost surely, 2^6944496000 is an apocalyptic number.

6944496000 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 6944496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12831436800).

6944496000 is an abundant number, since it is smaller than the sum of its proper divisors (18718377600).

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

6944496000 is a wasteful number, since it uses less digits than its factorization.

6944496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 6944496000 is about 83333.6426660925. The cubic root of 6944496000 is about 1907.8617922208.

6944496000 divided by its reverse (6944496) gives a cube (1000 = 10³).

The spelling of 6944496000 in words is "six billion, nine hundred forty-four million, four hundred ninety-six thousand".