6483681600 has 672 divisors, whose sum is σ = 25579791360. Its totient is φ = 1419264000.

The previous prime is 6483681571. The next prime is 6483681637. The reversal of 6483681600 is 61863846.

It is a happy number.

It is a super-3 number, since 3×6483681600³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 23073460 + ... + 23073740.

Almost surely, 2^6483681600 is an apocalyptic number.

6483681600 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 6483681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12789895680).

6483681600 is an abundant number, since it is smaller than the sum of its proper divisors (19096109760).

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

6483681600 is a wasteful number, since it uses less digits than its factorization.

6483681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 6483681600 is about 80521.3114647296. The cubic root of 6483681600 is about 1864.6925104062.

The spelling of 6483681600 in words is "six billion, four hundred eighty-three million, six hundred eighty-one thousand, six hundred".