6986224000 has 512 divisors, whose sum is σ = 21640320000. Its totient is φ = 2235340800.

The previous prime is 6986223997. The next prime is 6986224009. The reversal of 6986224000 is 4226896.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6986224009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104271967 + ... + 104272033.

It is an arithmetic number, because the mean of its divisors is an integer number (42266250).

Almost surely, 2^6986224000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6986224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10820160000).

6986224000 is an abundant number, since it is smaller than the sum of its proper divisors (14654096000).

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

6986224000 is an equidigital number, since it uses as much as digits as its factorization.

6986224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 6986224000 is about 83583.6347618360. The cubic root of 6986224000 is about 1911.6754758121.

The spelling of 6986224000 in words is "six billion, nine hundred eighty-six million, two hundred twenty-four thousand".