6448806000 has 960 divisors, whose sum is σ = 28840820736. Its totient is φ = 1306368000.

The previous prime is 6448805983. The next prime is 6448806043. The reversal of 6448806000 is 6088446.

6448806000 is a `hidden beast` number, since 6 + 4 + 48 + 8 + 0 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50777937 + ... + 50778063.

Almost surely, 2^6448806000 is an apocalyptic number.

6448806000 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 6448806000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14420410368).

6448806000 is an abundant number, since it is smaller than the sum of its proper divisors (22392014736).

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

6448806000 is a wasteful number, since it uses less digits than its factorization.

6448806000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 6448806000 is about 80304.4581576889. The cubic root of 6448806000 is about 1861.3431159169.

The spelling of 6448806000 in words is "six billion, four hundred forty-eight million, eight hundred six thousand".