6483054600 has 432 divisors, whose sum is σ = 25095067920. Its totient is φ = 1487289600.

The previous prime is 6483054569. The next prime is 6483054607. The reversal of 6483054600 is 64503846.

6483054600 is a `hidden beast` number, since 6 + 48 + 3 + 0 + 5 + 4 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6483054607) by changing a digit.

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 107 ways as a sum of consecutive naturals, for example, 7147347 + ... + 7148253.

It is an arithmetic number, because the mean of its divisors is an integer number (58090435).

Almost surely, 2^6483054600 is an apocalyptic number.

6483054600 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 6483054600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12547533960).

6483054600 is an abundant number, since it is smaller than the sum of its proper divisors (18612013320).

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

6483054600 is a wasteful number, since it uses less digits than its factorization.

6483054600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6483054600 is about 80517.4179913887. The cubic root of 6483054600 is about 1864.6324005300.

The spelling of 6483054600 in words is "six billion, four hundred eighty-three million, fifty-four thousand, six hundred".