6988464000 has 512 divisors, whose sum is σ = 29430835200. Its totient is φ = 1596672000.

The previous prime is 6988463987. The next prime is 6988464031. The reversal of 6988464000 is 4648896.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3022845 + ... + 3025155.

It is an arithmetic number, because the mean of its divisors is an integer number (57482100).

Almost surely, 2^6988464000 is an apocalyptic number.

6988464000 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 6988464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14715417600).

6988464000 is an abundant number, since it is smaller than the sum of its proper divisors (22442371200).

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

6988464000 is a wasteful number, since it uses less digits than its factorization.

6988464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 6988464000 is about 83597.0334401885. The cubic root of 6988464000 is about 1911.8797681205.

The spelling of 6988464000 in words is "six billion, nine hundred eighty-eight million, four hundred sixty-four thousand".