6482618503200 has 2016 divisors, whose sum is σ = 28894338144000. Its totient is φ = 1416311930880.

The previous prime is 6482618503189. The next prime is 6482618503253. The reversal of 6482618503200 is 23058162846.

6482618503200 is a `hidden beast` number, since 6 + 4 + 8 + 2 + 618 + 5 + 0 + 3 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 4600864096 + ... + 4600865504.

It is an arithmetic number, because the mean of its divisors is an integer number (14332509000).

Almost surely, 2^{6482618503200} is an apocalyptic number.

6482618503200 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 6482618503200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14447169072000).

6482618503200 is an abundant number, since it is smaller than the sum of its proper divisors (22411719640800).

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

6482618503200 is a wasteful number, since it uses less digits than its factorization.

6482618503200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 6482618503200 in words is "six trillion, four hundred eighty-two billion, six hundred eighteen million, five hundred three thousand, two hundred".