6445950000 has 360 divisors, whose sum is σ = 24239479824. Its totient is φ = 1471680000.

The previous prime is 6445949989. The next prime is 6445950011. The reversal of 6445950000 is 595446.

It is an interprime number because it is at equal distance from previous prime (6445949989) and next prime (6445950011).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 7349562 + ... + 7350438.

Almost surely, 2^6445950000 is an apocalyptic number.

6445950000 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 6445950000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12119739912).

6445950000 is an abundant number, since it is smaller than the sum of its proper divisors (17793529824).

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

6445950000 is an equidigital number, since it uses as much as digits as its factorization.

6445950000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 6445950000 is about 80286.6738631013. The cubic root of 6445950000 is about 1861.0682960044.

The spelling of 6445950000 in words is "six billion, four hundred forty-five million, nine hundred fifty thousand".