6488396820 has 36 divisors (see below), whose sum is σ = 19681470900. Its totient is φ = 1730239104.

The previous prime is 6488396797. The next prime is 6488396839. The reversal of 6488396820 is 286938846.

It can be written as a sum of positive squares in 2 ways, for example, as 1659258756 + 4829138064 = 40734^2 + 69492^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×6488396820² = 84198586587572224800, which contains 22 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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18023145 + ... + 18023504.

It is an arithmetic number, because the mean of its divisors is an integer number (546707525).

Almost surely, 2^6488396820 is an apocalyptic number.

6488396820 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6488396820 is an abundant number, since it is smaller than the sum of its proper divisors (13193074080).

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

6488396820 is a wasteful number, since it uses less digits than its factorization.

6488396820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36046664 (or 36046659 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 6488396820 is about 80550.5854727326. The cubic root of 6488396820 is about 1865.1444298251.

The spelling of 6488396820 in words is "six billion, four hundred eighty-eight million, three hundred ninety-six thousand, eight hundred twenty".