6484205508480 has 768 divisors, whose sum is σ = 27606091593600. Its totient is φ = 1368594579456.

The previous prime is 6484205508401. The next prime is 6484205508481. The reversal of 6484205508480 is 848055024846.

6484205508480 is a `hidden beast` number, since 6 + 4 + 8 + 4 + 2 + 0 + 550 + 8 + 4 + 80 = 666.

It is a super-5 number, since 5×6484205508480⁵ (a number of 65 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6484205508481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36239076 + ... + 36417564.

Almost surely, 2^{6484205508480} is an apocalyptic number.

6484205508480 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 6484205508480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13803045796800).

6484205508480 is an abundant number, since it is smaller than the sum of its proper divisors (21121886085120).

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

6484205508480 is a wasteful number, since it uses less digits than its factorization.

6484205508480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178591 (or 178576 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 54.

The spelling of 6484205508480 in words is "six trillion, four hundred eighty-four billion, two hundred five million, five hundred eight thousand, four hundred eighty".