6503875560 has 1024 divisors, whose sum is σ = 29094912000. Its totient is φ = 1269789696.

The previous prime is 6503875529. The next prime is 6503875591. The reversal of 6503875560 is 655783056.

6503875560 is a `hidden beast` number, since 6 + 5 + 0 + 3 + 87 + 5 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (6503875529) and next prime (6503875591).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 151252899 + ... + 151252941.

It is an arithmetic number, because the mean of its divisors is an integer number (28413000).

Almost surely, 2^6503875560 is an apocalyptic number.

6503875560 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 6503875560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14547456000).

6503875560 is an abundant number, since it is smaller than the sum of its proper divisors (22591036440).

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

6503875560 is a wasteful number, since it uses less digits than its factorization.

6503875560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 6503875560 is about 80646.6091041651. The cubic root of 6503875560 is about 1866.6264167909.

The spelling of 6503875560 in words is "six billion, five hundred three million, eight hundred seventy-five thousand, five hundred sixty".