6449587200 has 1056 divisors, whose sum is σ = 28591185920. Its totient is φ = 1393459200.

The previous prime is 6449587189. The next prime is 6449587201. The reversal of 6449587200 is 27859446.

It is a happy number.

6449587200 is a `hidden beast` number, since 6 + 4 + 49 + 587 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6449587201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 149990379 + ... + 149990421.

Almost surely, 2^6449587200 is an apocalyptic number.

6449587200 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 6449587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14295592960).

6449587200 is an abundant number, since it is smaller than the sum of its proper divisors (22141598720).

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

6449587200 is a wasteful number, since it uses less digits than its factorization.

6449587200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 6449587200 is about 80309.3219993794. The cubic root of 6449587200 is about 1861.4182731130.

The spelling of 6449587200 in words is "six billion, four hundred forty-nine million, five hundred eighty-seven thousand, two hundred".