6498384672 has 384 divisors, whose sum is σ = 20267089920. Its totient is φ = 1806520320.

The previous prime is 6498384647. The next prime is 6498384707. The reversal of 6498384672 is 2764838946.

Its product of digits (13934592) is a multiple of the sum of its prime factors (256).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59618154 + ... + 59618262.

It is an arithmetic number, because the mean of its divisors is an integer number (52778880).

Almost surely, 2^6498384672 is an apocalyptic number.

6498384672 is a gapful number since it is divisible by the number (62) 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 6498384672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10133544960).

6498384672 is an abundant number, since it is smaller than the sum of its proper divisors (13768705248).

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

6498384672 is a wasteful number, since it uses less digits than its factorization.

6498384672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 248 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 57.

The square root of 6498384672 is about 80612.5590215321. The cubic root of 6498384672 is about 1866.1009699651.

It can be divided in two parts, 6498 and 384672, that added together give a triangular number (391170 = T₈₈₄).

The spelling of 6498384672 in words is "six billion, four hundred ninety-eight million, three hundred eighty-four thousand, six hundred seventy-two".