6503280000 has 640 divisors, whose sum is σ = 25491840000. Its totient is φ = 1467648000.

The previous prime is 6503279987. The next prime is 6503280013. The reversal of 6503280000 is 823056.

It is an interprime number because it is at equal distance from previous prime (6503279987) and next prime (6503280013).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 82319961 + ... + 82320039.

It is an arithmetic number, because the mean of its divisors is an integer number (39831000).

Almost surely, 2^6503280000 is an apocalyptic number.

6503280000 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 6503280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12745920000).

6503280000 is an abundant number, since it is smaller than the sum of its proper divisors (18988560000).

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

6503280000 is an frugal number, since it uses more digits than its factorization.

6503280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 6503280000 is about 80642.9166139221. The cubic root of 6503280000 is about 1866.5694393803.

The spelling of 6503280000 in words is "six billion, five hundred three million, two hundred eighty thousand".