6503642208 has 144 divisors (see below), whose sum is σ = 21568528800. Its totient is φ = 1858155264.

The previous prime is 6503642203. The next prime is 6503642231. The reversal of 6503642208 is 8022463056.

6503642208 is a `hidden beast` number, since 6 + 5 + 0 + 3 + 642 + 2 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6503642203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65866 + ... + 131702.

It is an arithmetic number, because the mean of its divisors is an integer number (149781450).

Almost surely, 2^6503642208 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 6503642208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10784264400).

6503642208 is an abundant number, since it is smaller than the sum of its proper divisors (15064886592).

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

6503642208 is a wasteful number, since it uses less digits than its factorization.

6503642208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65874 (or 65849 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6503642208 is about 80645.1623347613. The cubic root of 6503642208 is about 1866.6040923469.

The spelling of 6503642208 in words is "six billion, five hundred three million, six hundred forty-two thousand, two hundred eight".