6498067968 has 480 divisors, whose sum is σ = 22923220320. Its totient is φ = 1811496960.

The previous prime is 6498067931. The next prime is 6498067973. The reversal of 6498067968 is 8697608946.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35900838 + ... + 35901018.

It is an arithmetic number, because the mean of its divisors is an integer number (47756709).

Almost surely, 2^6498067968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6498067968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11461610160).

6498067968 is an abundant number, since it is smaller than the sum of its proper divisors (16425152352).

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

6498067968 is a wasteful number, since it uses less digits than its factorization.

6498067968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The square root of 6498067968 is about 80610.5946386702. The cubic root of 6498067968 is about 1866.0706541624.

The spelling of 6498067968 in words is "six billion, four hundred ninety-eight million, sixty-seven thousand, nine hundred sixty-eight".