6447463200 has 216 divisors, whose sum is σ = 23290954596. Its totient is φ = 1677312000.

The previous prime is 6447463171. The next prime is 6447463277. The reversal of 6447463200 is 23647446.

6447463200 is a `hidden beast` number, since 6 + 447 + 4 + 6 + 3 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4511376 + 6442951824 = 2124^2 + 80268^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 284280 + ... + 306120.

Almost surely, 2^6447463200 is an apocalyptic number.

6447463200 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 6447463200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11645477298).

6447463200 is an abundant number, since it is smaller than the sum of its proper divisors (16843491396).

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

6447463200 is a wasteful number, since it uses less digits than its factorization.

6447463200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21908 (or 21892 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 6447463200 is about 80296.0970408899. The cubic root of 6447463200 is about 1861.2139144784.

The spelling of 6447463200 in words is "six billion, four hundred forty-seven million, four hundred sixty-three thousand, two hundred".