6446907000 has 192 divisors, whose sum is σ = 22149653760. Its totient is φ = 1690848000.

The previous prime is 6446906989. The next prime is 6446907001. The reversal of 6446907000 is 7096446.

6446907000 is a `hidden beast` number, since 644 + 6 + 9 + 0 + 7 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6446907001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 543129 + ... + 554871.

It is an arithmetic number, because the mean of its divisors is an integer number (115362780).

Almost surely, 2^6446907000 is an apocalyptic number.

6446907000 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 6446907000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11074826880).

6446907000 is an abundant number, since it is smaller than the sum of its proper divisors (15702746760).

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

6446907000 is a wasteful number, since it uses less digits than its factorization.

6446907000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11831 (or 11814 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 6446907000 is about 80292.6335350884. The cubic root of 6446907000 is about 1861.1603928107.

The spelling of 6446907000 in words is "six billion, four hundred forty-six million, nine hundred seven thousand".